What is the answer to |5x-9|=1 ?

The answer to |5x-9|=1 is x= 8/5 \lor x=2

Solve for x: |5x-9|=1

The solution is x= 8/5 \lor x=2

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∣ 5 x - 9 ∣ = 1

x = \frac{8}{5} or x = 2

Solution steps

∣ 5 x - 9 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 9 = - 1 or 5 x - 9 = 1

5 x - 9 = - 1 or 5 x - 9 = 1

x = \frac{8}{5} or x = 2

∣ 3 - 7 x ∣ = 4

6 x^{2} + x - 11 = 4

4 ∣ v - 5 ∣ = 16

\frac{1}{3} x + 4 = 3

∣ f - 6 ∣ = f + 8