What is the answer to |5n-3|=1 ?

The answer to |5n-3|=1 is n= 2/5 \lor n= 4/5

Solve for n: |5n-3|=1

The solution is n= 2/5 \lor n= 4/5

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∣ 5 n - 3 ∣ = 1

n = \frac{2}{5} or n = \frac{4}{5}

Decimal Notation

n = 0.4, n = 0.8

Solution steps

∣ 5 n - 3 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 n - 3 = - 1 or 5 n - 3 = 1

5 n - 3 = - 1 or 5 n - 3 = 1

n = \frac{2}{5} or n = \frac{4}{5}

8 ∣ u ∣ = 0

\frac{a}{5} + 1 = 3

∣ q + 7 ∣ = - 2

∣ - 3 n - 8 ∣ + 7 = 21

2 = ∣ t ∣ - 8