# Hotmath Practice Problems

Title:
Hotmath Algebra 1
Author:
Hotmath Team
Chapter:Inequalities and Absolute Value EquationsSection:Compound Inequalities

Problem: 1

Graph the solution of the inequality:

Problem: 3

Graph the solution of the inequality:

Problem: 5

Graph the solution of the inequality:

Problem: 7

Graph the solution of the inequality:

Problem: 9

Form an inequality to describe the given graph.

Problem: 11

Form an inequality to describe the given graph.

Problem: 13

Form an inequality to describe the given graph.

Problem: 15

Form an inequality to describe the given graph.

Problem: 17

Solve: –8 x – 2 7

Problem: 19

Solve: –15 –3x – 21 25

Problem: 21

Solve the inequality –2x 6or 2x + 1 5. Then determine whether x = 0 is a solution of the inequality.

Problem: 23

Solve the compound inequality and then graph the solution.

Problem: 25

Solve the compound inequality and then graph the solution.

6 x – 6 8

Problem: 27

Solve the compound inequality and then graph the solution.

–4 2x 18

Problem: 29

Solve the compound inequality and then graph the solution.

Problem: 31

Solve the given inequality and graph the solution.

x – 3 –10or 5x 10

Problem: 33

Solve the compound inequality and then graph the solution.

Check graphically whether x = 2 is a solution.

–5 3x – 2 10

Problem: 35

Solve the compound inequality and then graph the solution.

Check graphically whether x = 4 is a solution.

Problem: 37

A bus system charges \$2.00 per ticket. Children 6 and under ride free, children over 6 but under 12 pay half fare, and seniors (those over 65) get a 25% discount.

Write an inequality to describe y, the ages in years of all those eligible for some reduced fare.