Absolute Value and Inequalities Review

Solve for x
l 5x l = 40

• x = 8 and x =-8

• x = 35 and x = -35

• Only x = 8

• No Solution

What inequality does the number line graph represent?

• x ≥ 3

• x > 3

• x < -3

• x ≤ -3

Solve | 3x - 6 | - 9 = -3

• No Solution

• x = 0 or x = 4

• x = 2 or x = -2

• x = -4 or x = 4

Solve |-7n + 4| + 9 = 34

• n = -3

• No Solution

• n = -3, n = -29/7

• n = -3, n = 29/7

Solve for x
l x−6 l + 4= 10

• x = 12 and x = 0

• x = 3 and x = -3

• x = -12 and x = 0

• No Solution

∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3
  x = -6

• x = 3
  x = -12

• x = 6
  x = -12

Solve for p. 9|9 - 2p| = 81

• p = 0, p = -9

• p = -63/2, p = 99/2

• p = 0, p = 9

• No Solution

• {4, -4}
• {9, -9}
• {5, -9}
• {13, -1}

less than or equal to

• <

• >

• ≤

• ≥