What is the answer to |3x-1|=1 ?

The answer to |3x-1|=1 is x=0\lor x= 2/3

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|3x-1|=1

∣ 3 x - 1 ∣ = 1

x = 0 or x = \frac{2}{3}

Decimal Notation

x = 0, x = 0.66666 \dots

Solution steps

∣ 3 x - 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 1 = - 1 or 3 x - 1 = 1

3 x - 1 = - 1 or 3 x - 1 = 1

x = 0 or x = \frac{2}{3}

- 4 w - 2 = ∣ 6 w + 20 ∣

3 - 5 ∣ 2 d - 3 ∣ = 4

- 5 = ∣ 8 - p ∣ - 11

∣ - 4 b + 8 ∣ = 44

- 4 ∣ 7 - 6 k ∣ = 14