Solve Absolute Inequalities and Graph

Solve.

Solve. Check all that apply.

• 14

• 9

• 3

• -9

• -14

|v + 8| − 5 = 2 

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution

∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3
  x = -6

• x = 3
  x = -12

• x = 6
  x = -12

Solve |x – 12| - 3 = 11.

• -2, -26

• -2, 26

• 3, 25

• 4, -7

Solve for x
l 2x−1 l +4 = 8 

• {-1.5,2.5}

• {-1,2}

• {-2, 9}

• No Solution

Solve and graph:

• A

• B

• C

• D

| 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

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

Which compound inequality involves <, ≤ when solving absolute value inequalities?

• and

• or