Algebra 2 Solving Inequalities

Match the graph with its inequality.

• 11 < a

• 11 > a

•  11 ≤ a

•  11 ≥ a

4x-7≥21

• x≥7

• x≥-8

• x≤8

• x≤7

Which number line represent the solution to the inequality −7x −13 ≥ 8?

• Line A

• Line B

• Line C

• Line D

Solve the following inequality:
-4x + 14 ≤ 54

• x ≥ -10

• x ≤ -10

• x ≥ 10

• x ≤ 10

• Astrid meets both of her expectations

• Astrid buys the expected number of fruits, but she does beyond her budget

• Astrid stays within her budget, but she doesn't buy the expected number of fruits

• Astrid doesn't meet either of her expectations

Lars meets both of his expectations

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

Solve for x

• x > 8

• x < 9

• x > 10

• x < 7

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

3 < 2x + 1 < 7

• 1 < x < 3

• 3 < x < 4

• 3 < x < 3

• 2 < x < 6

2x + 9 < 7 or -5x + 7 < -8

• x < -1 or x > 3

• x < 8 or x > 3

• x < -1 and x > 3

• x < 8 and x > 3