What is the answer to | n/8 |-1=0 ?

The answer to | n/8 |-1=0 is n=-8\lor n=8

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| n/8 |-1=0

\frac{n}{8} - 1 = 0

n = - 8 or n = 8

Solution steps

\frac{n}{8} - 1 = 0

Move

1

to the right side

\frac{n}{8} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{n}{8} = - 1 or \frac{n}{8} = 1

\frac{n}{8} = - 1 or \frac{n}{8} = 1

n = - 8 or n = 8

∣ x - 2 ∣ - 1 = 2

∣ 2 + 3 n ∣ - 1 = 27

∣ x - 0 ∣ = 1

∣ 4 x - 7 ∣ + 9 = 3

7 ∣ 5 p - 7 ∣ = - 21