Absolute Value Equations and Inequalities Concepts

What is the correct way to write this answer? 

• x < - 8 OR x > - 6

• x < - 8 AND x > - 6

• -8 < x < 6

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

What is the correct way to write the answer? 

• x = -2 AND x = 6

• x = -2 OR x = 6

What is the first step?

• Get the absolute value alone by dividing both sides by 5

• Drop the absolute value bars and add 7 and 5 together

• Get the absolute value alone by subtracting 5 from both sides

After you split into two inequalities, what would they look like?

• x + 7 > 1        
     
  x + 7 > -1

• x + 7 > 1

• x + 7 > 1
  X + 7 < -1

Which inequality represents the graph?

• -8 < x < -6

• x < - 8 AND x > - 6

• x < - 8 OR x > - 6

Solve |x – 12| - 3 = 11.

• -2, -26

• -2, 26

• 3, 25

• 4, -7

• x > 11 or x < 5
• x > - 11 or x > 5
• 5 < x < 11
• - 5 < x < 11

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

Evaluate the expression.
|–5| + 8

• 3

• 13

• -13

• -3