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

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

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

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

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∣ 3 x - 1 ∣ = 3

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

Decimal

x = - 0.66666 \dots, x = 1.33333 \dots

Solution steps

∣ 3 x - 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

\frac{1}{x} \leq \frac{1}{2}

\frac{3 - 2 x}{5} - 3 < 6

- ln (\frac{2}{2})

\frac{4 x + 7}{x - 1} < 3

\frac{- 4 + i}{i}