What is the answer to |5n+1|=8 ?

The answer to |5n+1|=8 is n=-9/5 \lor n= 7/5

Solve for n: |5n+1|=8

The solution is n=-9/5 \lor n= 7/5

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∣ 5 n + 1 ∣ = 8

n = - \frac{9}{5} or n = \frac{7}{5}

Solution steps

∣ 5 n + 1 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 n + 1 = - 8 or 5 n + 1 = 8

5 n + 1 = - 8 or 5 n + 1 = 8

n = - \frac{9}{5} or n = \frac{7}{5}

∣ 4 x ∣ = 24

\frac{∣ n ∣}{3} + 5 = 8

∣ u ∣ - 13 = - 7

∣ x ∣ + 4 = 7

∣ x - 0.15 ∣ = 5