What is the answer to 3|2x-1|=3 ?

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

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3|2x-1|=3

3 ∣ 2 x - 1 ∣ = 3

x = 0 or x = 1

Solution steps

3 ∣ 2 x - 1 ∣ = 3

Divide both sides by

3

∣ 2 x - 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 1 or 2 x - 1 = 1

2 x - 1 = - 1 or 2 x - 1 = 1

x = 0 or x = 1

\frac{5}{4} - \frac{1}{3}

\frac{2 x ^{3} y ^{7}}{4 x ^{3} y ^{3}}

- 16 t^{2} + 4 t + 5 = 0

3 - 4 x < 11

4 y + 9 = - 6 y - 5