What is the answer to 2| n/6 |=1 ?

The answer to 2| n/6 |=1 is n=-3\lor n=3

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2| n/6 |=1

2 \frac{n}{6} = 1

n = - 3 or n = 3

Solution steps

2 \frac{n}{6} = 1

Divide both sides by

2

\frac{n}{6} = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{n}{6} = - \frac{1}{2} or \frac{n}{6} = \frac{1}{2}

\frac{n}{6} = - \frac{1}{2} or \frac{n}{6} = \frac{1}{2}

n = - 3 or n = 3

10 ∣ 2 x + 6 ∣ - 6 = 14

∣ 3 x + 4 ∣ + 7 = 5

6 ∣ 9 - 4 x ∣ + 7 = 49

21 = ∣ b + 30 ∣ - 9

∣ 3 x + 7 ∣ = 2 x + 3