Step-by-step explanation:
step 1. the sale is 20% off; that means times 0.8.
step 2. the additional coupon is 10% off of the sale price; that means times 0.9.
step 3. so the final price is (0.8)(0.9) times the retail price
step 4. (0.8)(0.9) = 0.72 or a 28% discount and not 30%.
find the sum or difference
(2/5 + 1/5) - 3/10=
Answer:
3/10
Step-by-step explanation:
2/5 + 1/5 = 3/5, which gets changed to 6/10, amd 6/10 - 3/10 = 3/10
Help me out please please
Answer:
490000
Step-by-step explanation:
Substituting \(x=40\),
\(I=-425(40)^2 + 45500(40) - 650000=490000\)
solve the quadratic equation by using the quadratic formula. if the solution are not real, enter N/A 3x^2-7x+1=0
Enter the exact answer.
Answer:
\(\displaystyle x=\frac{7\pm\sqrt{37}}{6}\)
Step-by-step explanation:
\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-7)\pm\sqrt{(-7)^2-4(3)(1)}}{2(3)}\\\\x=\frac{7\pm\sqrt{49-12}}{6}\\ \\x=\frac{7\pm\sqrt{37}}{6}\)
J0!N MY BLOOKET
BATTLE ROYALE
C0DE: 354162
yes
yes
Step-by-step explanation:
I am in the blooket
Answer:
ok
Step-by-step explanation:
You and your friend's choice to take a bus back home, each 2 miles you have to pay 60 cents, write this in an Equation
Answer:
Step-by-step explanation:
Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.
Pls help with math asap
\( \large{ \text{Hi, Hope you are fine!}}\)
GIVEN:\( \bull \: \: \: \sf{\angle CGE= x \degree}\)
\( \bull \: \: \: \sf{ \angle AGF = 75 \degree}\)
\( \bull \: \: \: \sf{AGC=90 \degree}\)
TO FIND:\( \bull \: \: \: \sf{Value \: of \: x}\)
SOLUTION:
\( \sf{\angle AGC + \angle AGD=180° (Linear \: pair)}\)
\( \sf{:\implies90 \degree+ \angle AGD=180° }\)
\( \sf{ :\implies\angle AGD=180° - 90 \degree}\)
\( \sf{:\implies \angle AGD= 90 \degree}\)
\( \sf{:\implies\angle FGD= \angle CGE=x}\)
[Vertically opposite angle]
\( \sf{ \angle AGD= 90 \degree}\)
\( \sf{:\implies \angle AGF+ \angle FGD= 90 \degree}\)
\( \sf{ :\implies75 \degree + x = 90 \degree}\)
\( \sf{ :\implies x = 90 \degree - 75 \degree}\)
\( \sf{ :\implies \: x = 15 \degree}\)
Which could you use to prove triangle AED is congruent to triangle CEB?
Answer:
Option (C)
Step-by-step explanation:
Given:
In right triangles ΔAED and CEB,
m∠AED = m∠CEB = 90°
DE ≅ BE
AD ≅ BC
To prove:
ΔAED ≅ ΔCEB
Statements Reasons
1). m∠AED = m∠BC = 90° 1). Given
2). DE = BE 2). Given
3). AD = BC 3). Given
4). ΔAED ≅ ΔCEB 4). By HL theorem of congruence
Option (C) is the answer.
I need to know what the x intercept(s) of the function
Answer:
i think it is (x-5) (x-1) (x+1) (x+3)
Step-by-step explanation:
f(x)=x 4 −2x 3 −16x 2 +2x+15=±15,±5,±3,±1=x=1=x 3 −x 2 −17x−15=0=
x 2 −2x−15=0=x= 2 2±8=x=−3 x=5= (x-5) (x-1) (x+1) (x+3)
need help i dont understand
Answer:
Step-by-step explanation:
it would be "c" because the question asks for the number that makes the inequality true
4x≤ x+3
the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example
4 x -7=-28
-28+3=-25
-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5
5 is not greater than 8 so it doesnt work
The graph of f(x) = RootIndex 3 StartRoot x EndRoot is shown with g(x). Which equation represents the graph of g(x)?
g(x) = RootIndex 3 StartRoot x minus 2 EndRoot
g(x) = RootIndex 3 StartRoot x + 2 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1
g(x) = RootIndex 3 StartRoot x EndRoot–1
The graph of g(x) is represented by the equation g(x) = Root Index 3 Start Root x EndRoot-1.
What is meant by mathematical equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Take a look at the formula 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the word "equal." The standard form, the point-slope form, and the slope-intercept form are the three primary kinds of linear equations.An equation is a mathematical expression with two equal sides and an equal sign in between. An equation is something like 4 + 6 = 10.A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality. A formula declares that two things are equal. In this case, 10 + 2 equals 6 + 6. Simply put, this means that 10 + 2 is equivalent to or the same as 6 + 6. For example, the equation 10 + x = 6 + 6 may have an unknown.Hence, the correct option is D) g(x) = RootIndex 3 Start Root x End Root–1
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There are 80 people in a choir.
Half the people in the choir are women.
The number of men in the choir is one quarter of the number of women.
The rest of the people in the choir are children.
the number of children in the choir : the number of men in the choir = n : 1
Work out the value of n.
You must show how you get your answer.
n =
There are 30 children in the choir
Number of people in the choir = 80
Number of women = 1/2 × 80 = 40.
Number of men = 1/4 × 40 = 10
Therefore, the number if children will be:
Men + Women + Children = 80
10 + 40 + n = 80
n = 80 - 40 - 10
n = 50
There are 30 children in the choir.
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Answer:
N=3
Step-by-step explanation:
Number of people in the choir = 80
Number of women = 1/2 × 80 = 40.
Number of men = 1/4 × 40 = 10
Therefore, the number if children will be:
Men + Women + Children = 80
10 + 40 + n = 80
n = 80 - 40 - 10
n = 50
There are 30 children in the choir.
Suppose you would like to make pancakes according to the given recipe:
Blueberry Pancakes Recipe, makes 6 servings
2 cups flour
2 tablespoons baking powder
1 teaspoon salt
2 eggs
1 1/2 cups milk
1 1/4 cups blueberries
Convert the amount of each ingredient of the recipe to make 15 servings. Round any decimal answers to two places.
Hint: You may want to make use of the conversion factor 15/6.
Answer:
4 1/2 cups of flour
4 1/2 tablespoons baking powder
4 1/2 teaspoon salt
4 1/2 eggs
5 cups of milk
5 cups of blueberries
Step-by-step explanation:
Sean M(2,5) el punto medio de P(a,-2) y Q(-5,b) ¿como hallar el valor de (a+2b)
Solving the provided question, we can say that equatiοn of slope intercept will me as y -y1 = m(x-x1) => 3x - y = -1
What is slope intercept?In mathematics, the intersectiοn point is the place on the y-axis where the slope of the line crosses. a place where the y-axis crοsses on a line or curve. Y = mx+c, where m stands fοr the slope and c for the y-intercept, is used as the equation fοr the straight line to show this.
The slope (m) οf the line and its y-intercept (b) are emphasised in the equatiοn's intercept fοrm. When an equatiοn has the intercept form (y=mx+b), the slοpe is m and the y-intercept is b. Sοme equations can also be rewritten such that they seem to be slοpe intercepts. If y=x is rewritten as y=1x+0, fοr instance, the slοpe and y-intercept are bοth changed to 1.
Here,
coordinates are
M(2,5) and P(a,-2)
equation of slope intercept will me as
y -y1 = m(x-x1)
y - 5 = 3x-4
3x - y = -1
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determine whether the statement describes a population or a sample. the number of times the students on your floor order fast food in a week.
The number of times the students on your floor order pizza in a week, population.
A population is a complete set of individuals or objects that share common characteristics. It is an entire group of people, animals, plants, or objects that can be studied. A population can also be a group of people living in a certain geographical area.
A sample is a subset of a population. It is a smaller group of individuals or objects drawn from the population that are used to make inferences about the population as a whole.
A sample is used in statistical analysis to estimate population characteristics, such as mean, median, and variance. The accuracy of the estimates depends on the size and representativeness of the sample.
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The complete question is:
Determine whether the statement describes a population or a sample. The number of times the students on your floor order pizza in a week, ___.
Which statement is true about a translation ?
A. A translation rotates a line
B. A translation takes a line to a parallel line or itself
C. A translation takes a line to a perpendicular line
D. A translation dilates a line
NEED HELP!! I"LL GIVE YOU BRAINLIEST!! Find the value of b. a = 3 and c =12
Answer: b = 11.62
Step-by-step explanation:
We can use this formula to solve for b:
\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)
\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)
\(b^2= \sqrt{144-9}\)
= 11.61895004
We can round that to 11.62.
Hope this helped!
A dog shelter is giving away 19 different dogs, but you have room for only 4 of them. How many different dog families could you create?
The 19 tykes given away by the Shelter, that have room for only 4 tykes per family.
The number of different canine families that could be created from the 19 tykes given away by the sanctum, we need to calculate the number of combinations. room for only 4 tykes , we need to choose 4 tykes from the aggregate of 19 tykes . The order of the tykes in the family doesn't count, as long as we choose different tykes for each family. The number of combinations can be calculated using the formula for combinations C( n, r) = n!/( r!( n- r)!) Where C( n, r) represents the number of combinations of choosing r particulars from a set of n particulars. In this case, we've n = 19( total number of tykes ) and r = 4( number of tykes per family). Plugging these values into the formula, we get C( 19, 4) = 19!/( 4!( 19- 4)!) Calculating the factorial values 19! = 19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = ! = 4 × 3 × 2 × 1 = 24 15! = 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = Substituting these values into the formula C( 19, 4) = /( 24 ×) ≈ 91,390 The 19 tykes given away by the sanctum, considering that you have room for only 4 tykes per family.
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A fence with 2 gates in it surrounds a lion enclosure.
Each gate is 4 m wide.
an image
What is the length of the fence around the enclosure not including the gates?
The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.
Let's assume the length of the rectangle is 'l' and the width is 'w'.
From the given data, we know that each gate is 4 m wide.
Therefore, the width of the rectangle is:
Width = w + (4 m + 4 m) = w + 8 m
The perimeter of the rectangle is:
P = 2l + 2(w + 8 m) = 2l + 2w + 16 m
Now, we need to subtract the combined length of the two gates from the perimeter:
P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m
So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
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On Monday, 405 Students went on a trip to the zoo. All 9 uses were filled and 9 students had to travel in cars. How many students were in each bus?
Answer:
Step-by-step explanation:
n = 41
There are 41 students on each bus.
From the tower of 32meter of heights,a car is observed at angle of the depression of 55 degrees. Find how far the a car from the tower
the car is approximately 22.4 meters away from the tower.
What is Trigonometric Functions?
Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.
we can write:
tan(55 degrees) = 32 / d
To solve for "d", we can rearrange the equation:
d = 32 / tan(55 degrees)
Using a calculator, we can evaluate the tangent of 55 degrees:
tan(55 degrees) = 1.428
d = 22.4 meters
Therefore, the car is approximately 22.4 meters away from the tower.
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Triangle ABC is rotated 45° counterclockwise about vertex A to obtain triangle XYZ. If the m∠ABC is equal to 30°, what is the m∠XYZ? Neeed this fast asap
15°
30°
45°
75°
Answer:
B,30
Step-by-step explanation:
Answer:
B,30°
Step-by-step explanation:
Select the correct answer. Which expression is equivalent to the given expression? (6n^-5)(3n^-3)^2
The equivalenet expression is 54\(n^{-11}\)
What is expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.
What is exponent?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
To simplify the given expression, we need to apply the power of a power rule, which states that to raise a power to another power, we need to multiply the exponents.
Starting with:
(\(6n^-5\))(\(3n^-3\))²
We can simplify as follows:
(\(6n^-5\))(\(9n^-6\))
Now, we can use the product of powers rule, which states that when multiplying two powers with the same base, we add their exponents.
Therefore:
6 x 9 = 54
\(n^-5 * n^-6 = n^-11\)
So the simplified expression is:
\(54n^-11\)
Therefore, the expression \((6n^-5)(3n^-3)^2\) is equivalent to \(54n^-11.\)
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The expression that is equal to (6n-5)(3n-3) option D, 54n11.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
We can use the distributive property of multiplication to expand the expression (6n - 5)(3n - 3) as follows:
(6n - 5)(3n - 3) = 6n(3n) - 6n(3) - 5(3n) + 5(3)
= 18n² - 18n - 15n + 15
= 18n² - 33n + 15
Therefore, the expression that is equivalent to (6n - 5)(3n - 3) is 18n² - 33n + 15, which is option D.
So, the answer is option D, 54n11.
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the bill for dinner was $67.82 you left $16.18 as tip . what percentage of the original bill was the tip? round your answer to the nearest whole percent
Bill for dinner = $67.82
Tip = $16.18
We are to find
what percentage of the original bill was the tip
This is done as follows
\(x\text{\% of 67.82}=16.18\)Simplifying this we get
\(\begin{gathered} \frac{x}{100}\times67.82=16.18 \\ 67.82x=16.18\times100 \\ x=\frac{1618}{67.82} \\ x=24.08 \\ x=24\text{\%} \end{gathered}\)Therefore, the percentage is 24%
Burning Brownie has five varieties of cakes as Chocolate fudge cake (Cake 1), Nutella-filled Cake (Cake 2), Marble Cake (Cake 3), Cheese cake (Cake 4) and Fruit Cake (Cake 5) at their store. The selling prices of each of the cakes are $9, $12, $4, $5, $8 respectively. a. Formulate the Revenue function If it takes 4 cups of milk, 7 cups of sugar, 1 egg, 3 cups flour & 4 cups cream to make Cake 1; 3 cups milk, 4 cups sugar, 2 egg, 4 cups flour & no cream to make Cake 2; 1 cups milk, 5 cups sugar, 3 eggs, 2 cups flour & 1 cup cream to make Cake 3; 5 cups milk, no sugar, 4 eggs, 4 cups flour & 5 cups cream for Cake 4; & lastly 4 cups milk, 8 cups sugar, 5 eggs, 6 cups flour & 3 cups cream to make Cake 5; Which types of cakes to be baked such that we get maximum Revenue? Keep in mind that the store has availability of maximum 280 cups milk, 300 cups sugar, 80 eggs, 250 cups flour & 190 cups cream at their disposal. b. Formulate the constraints of the scenario. c. Solve the system if linear inequalities using Excel Solver.
A. In equation form: Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5
B. Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0
How did we get these values?To solve this problem using E x c e l Solver, set up the revenue function and the constraints. Here's how you can do it:
a. Revenue Function:
Let's denote the number of cakes baked for each type as x1, x2, x3, x4, and x5 respectively.
The revenue function can be formulated as:
Revenue = (Selling Price of Cake 1 × Number of Cake 1) + (Selling Price of Cake 2 × Number of Cake 2) + (Selling Price of Cake 3 × Number of Cake 3) + (Selling Price of Cake 4 × Number of Cake 4) + (Selling Price of Cake 5 × Number of Cake 5)
In equation form:
Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5
b. Constraints:
The constraints for the availability of ingredients can be formulated as follows:
Milk constraint: 4x1 + 3x2 + x3 + 5x4 + 4x5 ≤ 280
Sugar constraint: 7x1 + 4x2 + 5x3 ≤ 300
Egg constraint: x1 + 2x2 + 3x3 + 4x4 + 5x5 ≤ 80
Flour constraint: 3x1 + 4x2 + 2x3 + 4x4 + 6x5 ≤ 250
Cream constraint: 4x1 + 5x3 + x4 + 3x5 ≤ 190
Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0
c. Solve the system of linear inequalities using E x c e l Solver:
To solve the system of linear inequalities using E x c e l Solver, follow these steps:
1. Open M i c r o s o f t E x c e l and enter the following data in a new sheet:
| | A | B |
|-----|-----------|-----------------|
| 1 | Cakes | Selling Price |
| 2 | Cake 1 | $9 |
| 3 | Cake 2 | $12 |
| 4 | Cake 3 | $4 |
| 5 | Cake 4 | $5 |
| 6 | Cake 5 | $8 |
| | | |
| | | Formula |
| 9 | Milk | 280 |
| 10 | Sugar | 300 |
| 11 | Eggs | 80 |
| 12 | Flour | 250 |
| 13 | Cream | 190 |
2. In cell B16, enter the formula for the revenue:
=B2×B7 + B3×B8 + B4×B9 + B5×B10 + B6×B11
3. In cell B18, enter the formula for the milk constraint:
=4×B2 + 3×B3 + B4 + 5×B5 + 4×B6
4. In cell B19, enter the formula for the sugar constraint:
=7×B2 + 4×B3 + 5×B4
5. In cell B20, enter the formula for the egg constraint:
=B2 + 2×B3 + 3×B4 + 4×B5 + 5×B6
6. In cell B21, enter the formula for the flour constraint:
=3×B2 + 4×B3 + 2×B4 + 4×B5 + 6×B6
7. In cell B22, enter the formula for the cream constraint:
=4×B2 + 5×B4 + B5 + 3×B6
8. In cell B24, enter the formula for the non-negativity constraint for Cake 1:
=B2
9. Repeat step 8 for the remaining cakes, entering the formulas in cells B25, B26, B27, and B28:
=B3
=B4
=B5
=B6
10. Now, select cells B16 to B28 and click on the "Solver" button in the "Data" tab.
11. In the Solver Parameters window, set the objective to maximize the cell B16 (Revenue).
12. Set the By Changing Variable Cells to B24:B28 (the number of cakes baked).
13. Click on the "Add" button in the "Subject to the Constraints" section.
14. In the Constraint window, select the range B18:B22 for the constraint cells.
15. In the Solver Parameters window, click on the "Add" button again and select the range B24:B28 for the non-negativity constraints.
16. Set the Solver options as desired, and click on the "Solve" button.
E x c e l Solver will calculate the optimal values for the number of cakes to be baked for each type that maximize the revenue, while satisfying the given constraints on ingredient availability. The solution will be displayed in cells B24:B28, indicating the number of cakes to be baked for each type.
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Lines DE and AB intersect at point C.
What is the value of x?
12
25
38
С
5x-3)*
52
Answer: 12
Step-by-step explanation:
Find The Product. Simplify if necessary.
1)-3(-12)
2) 5/8(-2/8
3)-8(12)
4) 8(12)
5) 7(-9)
6)5X4.1
Answer:
1) 36
2) -5/32
3) -96
4) 96
5) -63
6) 20.5
Explanation:
Also, is the X a multiplier?
El mayor es Novecientos mil cuatrocientos ochenta y nueve , y cuarenta mil dos
El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.
Por otro lado, el número "cuarenta mil dos" se representa como 40,002.
Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.
Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.
Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.
En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.
Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.
Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.
En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.
Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).
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FAST PLEASE A school assembly had 98 students in attendance, and 50% of them were first-graders. How
many first-graders were at the assembly?
Answer:
49
Step-by-step explanation:
50% is basically half so divide 98 by 2
how to solve pythagorean theorem i need an assay someone help
Answer:
first write the formula
Step-by-step explanation:
Hypotenuse^2 = Perpendicular ^2 + Base^2
only applicable for a right triangle (one of the sides is of measure 90 degree
Give an example
let is assume in Triangle ABC, angle B = 90 degrees
AB = 3cm
BC = 4 cm
to find AC or hypotenuse
Solution
by using pythagoras formula we get
(AB)^2 + (BC)^2 = (AC)^2
(3)^2 + (4)^2 = (AC) ^2
9 + 16 = (AC)^2
25 = (AC)^2
Root of 25 = AC
5cm =AC
Write about how pythagoras theorem was formed
mathematician who derived it
in which year
Application of Pythagorean theorem
Pythagorean Triplets etc.
I think this willbe enough for an essay
GOOD LUCK FOR THE FUTURE! :)
please help asap
• it would mean sm and make my day
For the given number line plot the inequality obtained is { -∞ < x < -2 and 5 < x < ∞}.
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
To represent inequalities on a number line show the range of numbers by drawing a straight line and indicating the end points with either an open circle or a closed circle.
An open circle shows it does not include the value.
A closed circle shows it does include the value.
Let the unknown value be x.
The first range is starting form -2 and moving towards -∞.
Since the circle is open it will not include the value.
So the inequality is -∞ < x < -2.
The second range is starting form 5 and moving towards ∞.
Since the circle is open it will not include the value.
So the inequality is 5 < x < ∞.
Therefore, the inequality is { -∞ < x < -2 and 5 < x < ∞}.
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