What is the answer to 3|k+5|=18 ?

The answer to 3|k+5|=18 is k=-11\lor k=1

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3|k+5|=18

3 ∣ k + 5 ∣ = 18

k = - 11 or k = 1

Solution steps

3 ∣ k + 5 ∣ = 18

Divide both sides by

3

∣ k + 5 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

k + 5 = - 6 or k + 5 = 6

k + 5 = - 6 or k + 5 = 6

k = - 11 or k = 1

2 ∣ 3 x - 1 ∣ - 1 = - 5

0 = ∣ x + 5 ∣

\frac{r}{2} = 5

4 ∣ 3 x - 4 ∣ + 6 = 10

∣ x ∣ - 5 = 3