Solve Equations Absolute Value

What is the extraneous solution to the equation, |x - 15| = 4x

• -5

• 3

• 15

• -15

• no extraneous solutions

|x+5| = 12

• x = 7

• x = 7

  x = -7

• x = 17

• x = 7

  x = -17

|x - 4| + 5 = 25

• x = 24

  x = -16

• x = 29

• x = 24

• x = 24

  x = -26

Solve |x + 5| + 1 = |x - 4|.

• x = -1

• x = 5

• x = -2

• x = 3

Solve: |x| = 6

• x=6

• x=-6

• x=6

  x=-6

• Unicorns

-2|x - 8| = -12

• no solution

• x = 14

  x = 2

• x = -2

• x = 14

Solve for x:

∣ 2x + 9 ∣ = 15

• S = { 3 }

• S = { -6, 3 }

• S = { -12, 3 }

• S = { -12, 6 }

|6 - 2k| = 18

• S = { -6 }

• S = { -6, 12 }

• S = { -12, -6 }

• S = { -6, 5 }

Solve:

| 12 + w | ≥ −5

• [ -17, -7 ]

• (-∞, -17] U [-7, ∞)

• (-∞, ∞)

• ∅

Solve:

−3| 2t−3 | + 5 > −16

• ( 1/3, 5 )

• (-∞, -2) U (5, ∞)

• (-∞, ∞)

• (-2, 5)