multi-Step inequalities

| x + 3 | ≤ 2

• No Solution

• x ≤ -1

• -5 ≤ x and x ≤ -1

• 1 ≤ x and x ≤ 5

| 2w - 1 | < 11

• No Solution

• w < 5

• -5 < w and w < 6

• -6 < w and w < 5

What is the correct first step?

• divide by 10
• multiply by 10
• make it two inequalities with an "or"
• make it two inequalities with and "and

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

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

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

Write an inequality for Graph 4.

• -2 < x < 5
• x < -2 or x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x ≤ 5

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5
• x ≤ -2 OR x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x < 5

Solve the inequality. (hint: isolate the absolute value). 
8 + |4v - 7| ≥ 17

• No solution
• v ≥ 9
• v ≥ 4
• -1/2 ≥ v ≥ 4