Absolute Value Inequalities
Multi-Step Inequalities
Writing & Solving Inequalities
Graphing Inequalities
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100

The solution of |h - 5| <= 10

What is -5 <= h <= 15

100

-11 < -3x + 1 < -2, the solution along with the graph would be...

What is 1 < x < 4?

100

Write the sentence as an inequality: twelve less than a number h is no more than 5

What is h - 12 <= 5?

100

What are these symbols called?


(<, >, >=, <= )

What are inequalities?

100

Predict the number of times you will spin a 4 in 50 spins on the spinner shown

What is 10?

200

In the inequality, -3|x-5| > 9, the solution would be

What are all real numbers?

200

7x - 8 < 5x + 2

What is x < 5?

200

A bicycle costs $175. Edward has $55 and plans to save $22 each month. Describe the numbers of months he needs to buy the bicycle.

What is 6 months?

200

Write and graph an inequality that represents the numbers that are not solutions of x + 2.8 < 9.3

What is x > 6.5?

200

You need an average exam score of at least an 84 to receive a B in class. Determine the minimum score needed on the fourth exam to receive a B in the class?

What is 83 or higher?

300

The solution of |5p + 2| < -4

What is no solution?

300

Solve x - 9 <= -14 or 3x + 8 >= 5, and write your answer in interval notation

What is (-infinity, -5] or [-1, infinity)?

300

The lowest temperature ever recorded in a country is -30 F & the highest is 120 F. Write an inequality that represents the range of temperatures (in degrees celsius) in this country using improper fractions & C as your variable.

What is -310/9 <= C <= 440/9?

300

Solve the inequality 6|2x - 9| + 1 < 7 and graph its solution

What is 4 < x < 5?

300

One-fifth of the greater of two consecutive integers is 7 less than one-half of the lesser integer. The integers would be...

What are 24 and 25?

400

The solution of 2|3w + 8| - 12.5 < -4.5 in interval notation

What is (-4, -4/3)?

400

A soccer club plans to buy shirts for its team and supporters. ProV Graphics charges a $75 setup fee plus $7 per shirt. BT Designs has no setup fee
but charges $10.50 per shirt. After how many shirts does the team need to order for ProV Graphics to be the better option?

What is x > 21.4?

400

In the triangle, the value of x is greater than 5 times the value of y. The possible values of x would be

What is x > 87.5?

400

Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members
brought 42 blankets on Monday and 65 blankets on Wednesday. Write and solve an inequality
to find out how many blankets the team must donate on Friday to make or exceed their goal? (Make a graph)

What is 53?

500

Write the following interval notation expressed as inequalities: (-infinity, -7] or [-1, infinity)

What is -7 <= x <= -1?

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