Solve Inequalities in One Variable

Solve the compound inequality. –10 ≤ 2x + 4 < 22

• –3 < x ≤ 13

• –7 ≤ x < 9

• –7 < x ≤ 9

• –3 ≤ x < 13

Graph the inequality:

x ≤ 5 or x > 9

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Match this number line

to its correct solution.

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Match this number line

to its correct solution.

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Match the given graph with the inequality.

Match the given graph with the inequality.

• Yes

• No

Anita is saving for college and wants to take no fewer than $3000 with her for the fall semester. Her summer job pays $9/hour. She has already saved $720. How many hours will Anita have to work during the rest of the summer to meet her goal? Select the inequality that models the situation if h represents the number of hours Anita will need to work.

• A

• B

• C

• D

When you solve an inequality, you flip the inequality sign because

• you multiply or divide both sides by the same number

• you multiply or divide both sides by a negative number

• you multiply both sides by a negative number

• a negative number is present in the inequality