Solving Problems with Inequalities

Solve:
-4(-7-5x) > 188

• x < -32

• x > -32

• x < 8

• x > 8

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

3(d + 2) < -15

• d < -7

• d > -7

• d < -11

• d > 1

The sum of a number and 15 is no greater than 30.

• n > 15

• n ≤ 15

• n < 15

• n + 15 > 30

−9e − 8 + 4e ≤ −1

• −35 ≥ e

• −1⅖ ≥ e

• −1⅖ ≤ e

• 8⅕ ≤ e

Pick the correct inequality.

• A

• B

• C

• D

10 < 3x + 19

• x < 3

• x > 3

• x < -3

• x > -3

-8x < 48

• x < -6

• x > -6

• x < 6

• x > 6

Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Write an inequality to show how many sweaters Melissa can buy. DO NOT SOLVE

• 75x-10 ≥ 300

• 75+10 ≤ 300x

• 10x ≥ 300

• 75+10x ≤ 300

11x + 16 < 43 + 2x

• x ≥ 5

• x < 3

• x > 5

• x ≤ 3