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

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

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|2x-1|=|x-2|

∣ 2 x - 1 ∣ = ∣ x - 2 ∣

x = - 1 or x = 1

Solution steps

∣ 2 x - 1 ∣ = ∣ x - 2 ∣

Find positive and negative intervals

x < \frac{1}{2}, \frac{1}{2} \leq x < 2, x \geq 2

Solve the inequality for each interval

x = - 1 or x = 1 or No Solution

x = - 1 or x = 1

∣ x ∣ = 231

17 = 9 ∣ n ∣ + 9

\frac{∣ x + 6 ∣}{7} = 2

- 5 ∣ 2 x - 1 ∣ = 0

∣ 3 x - 2 ∣ = ∣ 6 x + 7 ∣