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

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

Solve for x: |x-1|= 1/3

The solution is x= 2/3 \lor x= 4/3

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∣ x - 1 ∣ = \frac{1}{3}

x = \frac{2}{3} or x = \frac{4}{3}

Decimal Notation

x = 0.66666 \dots, x = 1.33333 \dots

Solution steps

∣ x - 1 ∣ = \frac{1}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - \frac{1}{3} or x - 1 = \frac{1}{3}

x - 1 = - \frac{1}{3} or x - 1 = \frac{1}{3}

x = \frac{2}{3} or x = \frac{4}{3}

∣ n + 1 ∣ - 10 = - 9

3 ∣ 2 x - 7 ∣ + 14 = 2

7 + 3 ∣ 2 c + 8 ∣ = 19

- 5 ∣ 2 x + 6 ∣ + 2 = 12

- 2 ∣ 5 - 3 x ∣ = - 26

What is the answer to |x-1|= 1/3 ?
The answer to |x-1|= 1/3 is x= 2/3 \lor x= 4/3
Solve for x: |x-1|= 1/3
The solution is x= 2/3 \lor x= 4/3