Solving Inequality Models

-8x < 48

• x < -6

• x > -6

• x < 6

• x > 6

Translate: 5 times a number is at least 60.

• 5x < 60

• 5x > 60

• 5x ≤ 60

• 5x ≥ 60

4x + 1 > 13

• x > 48

• x < 3

• x > 3.5

• x > 3

A number increased by 4 is no more than -18.

• x + 4 < -18

• x + 4 > -18

• x + 4 ≤ -18

• x + 4 ≥ -18

Does the given value make the inequality true? x + 9 > 21, when x = 15

• True

• Not True

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she can spend no more than $35 in all.

• .50x + 20 ≥ 35

• .50x < 35

• .50x + 20 ≤ 35

• .50x - 20 = 35

A limo driver needs to make more than $450 in one day.  He charges a rental fee of $375 and $0.85 per mile.  What inequality represents the number of miles, x, he would have to drive to reach his goal?

• 0.85x + 375 > 450

• 0.85x + 375 < 450

• 0.85 + 375x > 450

• 0.85 + 375x < 450

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

5 < 2m - 1 ≤ 13

• 6 < m < 7

• m = 7

• 6 < m ≤ 7

• 2 < m ≤ 6

8x ≥ -32

• x ≥ -4

• x ≥ 4

• x ≤ -4

• x ≥ 4