Absolute Value Inequality Review

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers

• no solution
• -6 ≤ r ≥ 8
• 6 > r > -8
• -6 < r < 8

Solve.
-5|x - 4| > 20

• x < 8 and x > 0

• x > 8 or x < 0

• all real numbers

• no solution

• n > 1 or n < -7
• n > -1 or n < -7
• -7 < n < -1
• no solution

|x+7|=12

• x = -5, x = 19

• x = 5, x = -19

• x = 5, x = -5

• x = 12, x = -7

|v + 8| − 5 = 2 

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution

|-2 - 4n| = 34

• n = -9, n = 8

• n = 9, n = 8

• n = -9

• n = 8

|6 - 2f| = -5

• f = 11/2

  f = 1/2

• f = -5

  f = 5

• f = 1

  f = 3

• No solution

What has to be done first in order to solve this inequality?

• subtract 3 from both sides

• distribute the 3

• divide both sides by 3

• nothing

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

• and

• or