What is the answer to | k/6 |=4 ?

The answer to | k/6 |=4 is k=-24\lor k=24

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| k/6 |=4

\frac{k}{6} = 4

k = - 24 or k = 24

Solution steps

\frac{k}{6} = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{k}{6} = - 4 or \frac{k}{6} = 4

\frac{k}{6} = - 4 or \frac{k}{6} = 4

k = - 24 or k = 24

- 5 ∣ 6 x - 8 ∣ = - 10

∣ 2 x - 4 ∣ = 22

∣ x + 2 ∣ + 1 = ∣ x + 7 ∣

- 9 + ∣ 7 + 9 x ∣ = 5

2 ∣ 3 x + 1 ∣ - 7 = 13