Absolute Value Equations and Inequalities

Evaluate each expression.
| x + 9 | = -5

• -14
• -4
• {-14, -4}
• no solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution

∣ 2x + 9 ∣ = 15

• x = 3 
• x = 3
  x = -6
• x = 3
  x = -12
• x = 6
  x = -12

|v + 8| − 5 = 2 

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

−2|−2r − 4| = -12

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

Solve |2x –3| + 5 =10.

• -1, 1
• -1, 4
• -1, -4
• 1, 4

Solve |x – 12| - 3 = 11.

• -2, -26
• -2, 26
• 3, 25
• 4, -7

Solve |x – 12| - 3 = 11.

• x = -2
  x = -26
• x = -2
  x = 26
• x = 3
  x = 25
• x = 4
  x =  -7

−2|−2r − 4| = -12

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

5∣ x ∣ - 8 = 2

• x = 5
  x = 2
• x = 2
  x = -2
• x = -5
  x = 10
• x = 18
  x =  -18