Solving Problems with Inequalities

8x ≥ -32

• x ≥ -4

• x ≥ 4

• x ≤ -4

• x ≥ 4

• A
• B
• C
• D

Solve:
3(x - 2) < 2(x + 9)

• x<24

• x>12

• x<12

• x>24

Solve:
4(2a + 3) < 3(a - 1)

• a<-3

• a>-3

• a<3

• a>3

Solve the linear inequality.

• x > -2

• x < -2

• x < 2

• x > 2

Solve the linear inequality.

• y > -14 / 3

• y < -14 / 3

• y > -6

• y < -6

• a ≥ 4
• a ≥ -4
• a ≤ 4
• a ≤ -4

11 > -3y + 2

• y>3

• y<3

• y>-3

• y<-3

Solve the inequality.
- 3(9 + x) ≥ - 21

• x ≤ 2

• x ≥ 2

• x ≥ - 2

• x ≤ - 2

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

• 1.75n + 0.75 ≥ 20

• 1.75n + 0.75 ≤ 20

• 0.75n + 1.75 ≥ 20

• 0.75n + 1.75 ≤ 20