Inequalities and Absolute Value

10 ≥ x - 3

• x ≤ 13

• x ≥ 13

• x ≤ 7

• x ≥ 7

Solve for x: -2x - 3 ≤ 13

• x ≥ 8

• x ≥ -8

• x ≤ 8

• x ≤ -8

3x + 2 < -4 or 4x + 4 > 24

• x < -2 or x > 5

• x < 2 or x > 5

• -2 > x > 5

• 2 < x > 5

Your taxi fare is $2.50 per mile, plus a $5 fee. You have a budget of $20. Which inequality models this scenario?

• 5x + 2.50 ≤ 20

• 2.50x + 5 < 20

• 2.50x + 5 ≤ 20

• 7.50x < 20

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food.  You can spend at most $25.  Which inequality models this scenario?

• 2x + 10 ≥ 25

• 2x + 10 > 20

• 2x + 10 ≤ 25

• 2x + 10 < 25

• -4.5 < x ≤ 4.5

• -4.5 < x ≤ 4

• -5 < x ≤ 4

• -5 < x < 4.5

3x + 2 < -7 or -4x + 5 < 1

• -3 < x < 1

• -3 > x > 1

• x < -3 or x < 1

• x < -3 or x > 1

|v + 8| − 5 = 2

Select all of the correct answers.

• x = -1

• x = 1

• x = -15

• x = 15

• No Solution

−2|−2r − 4| = -12
Select all of the correct answers.

• x = 5

• x = -5

• x = 1

• x = -1

• No Solution

|−2n| + 10 = −50
Select all of the correct answers.

• x = 30

• x = -20

• x = -30

• x = 20

• No Solution