Absolute Value Equations and Inequalities

What is the first step? 

• Get absolute value alone by subtracting 5 from both sides
• Get absolute value alone by dividing by 5 on both sides
• Split into two equations

• - 4 ≤ x ≤ 6
• x ≥ - 4 or x ≤ 6
• x ≥ 4 or x ≤ - 6
• - 4 ≤ x ≤ - 6

| 2w - 1 | < 11

• No Solution
• All Real Numbers
• -5 < w < 6
• -6 < w < 5

Solve:

• {24}
• {-6, -8}
• {16, 4}
• {24, -24}

Write an inequality for Graph 3.

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

|v + 8| − 5 = 2 

• {-1,-15}
• {-1,-5}
• {-15,15}
• No Solution

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

| 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

4|5x-2|+7>39

• -6/5<x>2
• x=2 or x=-6/5
• x=2 and x=-6/5
• x<-6/5 or x>2

−2|−2r − 4| = -12

• {5,1}
• {-5, -1}
• {-5, 1}
• No Solution