What is the answer to |3x-4|=x ?

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

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|3x-4|=x

∣ 3 x - 4 ∣ = x

x = 1 or x = 2

Solution steps

∣ 3 x - 4 ∣ = x

Find positive and negative intervals

x < \frac{4}{3}, x \geq \frac{4}{3}

Solve the inequality for each interval

x = 1 or x = 2

x (x + 1) = 72

\frac{k - 3}{4} = 10

\frac{8 x + 1}{3 x - 1} \leq 4

- 67 = 6 x - 1

\frac{15. 2 ^{2}}{2 \cdot 9.8}