What is the answer to 4|k+1|=16 ?

The answer to 4|k+1|=16 is k=-5\lor k=3

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4|k+1|=16

4 ∣ k + 1 ∣ = 16

k = - 5 or k = 3

Solution steps

4 ∣ k + 1 ∣ = 16

Divide both sides by

4

∣ k + 1 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

k + 1 = - 4 or k + 1 = 4

k + 1 = - 4 or k + 1 = 4

k = - 5 or k = 3

∣ - 2 x + 9 ∣ = 11

2 ∣ x ∣ - 6 = 18

∣ x - 3 ∣ + 1 = 3

\frac{10 ∣ x + 8 ∣}{5} = 24

∣ 6 - x ∣ = 54