What is the answer to |x-1|= 1/32 ?

The answer to |x-1|= 1/32 is x= 31/32 \lor x= 33/32

Solve for x: |x-1|= 1/32

The solution is x= 31/32 \lor x= 33/32

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∣ x - 1 ∣ = \frac{1}{32}

x = \frac{31}{32} or x = \frac{33}{32}

Decimal

x = 0.96875, x = 1.03125

Solution steps

∣ x - 1 ∣ = \frac{1}{32}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - \frac{1}{32} or x - 1 = \frac{1}{32}

x - 1 = - \frac{1}{32} or x - 1 = \frac{1}{32}

x = \frac{31}{32} or x = \frac{33}{32}

∣ x - 4 ∣ = ∣ 4 - x ∣

2 ∣ x + 1 ∣ - 3 = 7

\frac{1}{4} x + 12 = 16

- 3 + 3 ∣ a ∣ = 27

∣ x + 2 ∣ = 2 ∣ x - 1 ∣

What is the answer to |x-1|= 1/32 ?
The answer to |x-1|= 1/32 is x= 31/32 \lor x= 33/32
Solve for x: |x-1|= 1/32
The solution is x= 31/32 \lor x= 33/32