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

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

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| x/6 |=4

\frac{x}{6} = 4

x = - 24 or x = 24

Solution steps

\frac{x}{6} = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 24 or x = 24

∣ v ∣ + 11 = 15

6 - 2 ∣ 7 x - 3 ∣ = - 4

∣ x + 7 ∣ = 7

- 4 ∣ 2 v + 2 ∣ = 0

∣ 7 x + 5 ∣ + 2 = 0