What is the answer to |5-2/x |=3 ?

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

Solve for x: |5-2/x |=3

The solution is x= 1/4 \lor x=1

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5 - \frac{2}{x} = 3

x = \frac{1}{4} or x = 1

Decimal Notation

x = 0.25, x = 1

Solution steps

5 - \frac{2}{x} = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - \frac{2}{x} = - 3 or 5 - \frac{2}{x} = 3

5 - \frac{2}{x} = - 3 or 5 - \frac{2}{x} = 3

x = \frac{1}{4} or x = 1

∣ 5 - x ∣ = - 7

∣ 5 - x ∣ = - 8

- 8 ∣ 1 + x ∣ + 3 = 59

∣ x + 4 ∣ + 3 = 1, 8 = 7

\frac{∣ x - 3 ∣}{2} = 5