What is the answer to |4x-1|=1 ?

The answer to |4x-1|=1 is x=0\lor x= 1/2

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|4x-1|=1

∣ 4 x - 1 ∣ = 1

x = 0 or x = \frac{1}{2}

Decimal Notation

x = 0, x = 0.5

Solution steps

∣ 4 x - 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 1 = - 1 or 4 x - 1 = 1

4 x - 1 = - 1 or 4 x - 1 = 1

x = 0 or x = \frac{1}{2}

4 ∣ v - 2 ∣ - 3 = 25

- 2 ∣ 4 + 2 x ∣ + 5 = - 5

7 ∣ 2 c - 6 ∣ + 4 = 32

45 = ∣ b - 12 ∣

100 = ∣ 10 c ∣