Multistep and Compound Inequalities

Solve:
-8(x - 3) - 4x < 108

• x > -38

• x > -14

• x > -7

• x < -38

solve 5( 6 + 3r) + 7 ≥ 127

• r ≤ 6

• r ≥ 6

• r ≤ -6

• r ≥ -6

Solve:
7(x + 3) < 5x + 13

• x>-4

• x < 17

• x<-4

• x > -17

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

• a<-3

• a>-3

• a<3

• a>3

• x < 0 or x ≥ 2

• x < 0 or x > 2

• x ≤ 0 or x ≥ 2

• x ≤ 0 or x > 2

| 2x + 12 | < 8
Which is the correct first step?

• 2x + 12 < 8 and 2x+12 >-8

• 2x + 12 < 8 or 2x+12 >-8

• 2x + 12 < 8 and 2x+12 <-8

• 2x + 12 < 8 or 2x+12 >-8

| 2w - 1 | < 11

• No Solution

• All Real Numbers

• -5 < w < 6

• -6 < w < 5

| x - 6 | < 4
Is this an "and"  or an "or" problem?

• and

• or

• x ≤ 3 and x > -2

• x < -2 or x ≥ 3

• x > -2 or x < 3

• x < 3 and x ≥ -2

Solve and graph:

• A

• B

• C

• D