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

The answer to |x-2|=2-x is x<= 2

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|x-2|=2-x

∣ x - 2 ∣ = 2 - x

x \leq 2

Solution steps

∣ x - 2 ∣ = 2 - x

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x < 2 or x = 2

Merge Overlapping Intervals

x \leq 2

∣ 5 - x ∣ = 5

2 ∣ 2 x - 4 ∣ + 3 x = 7

∣ 3 x - 5 ∣ + ∣ x - 3 ∣ = 3

x^{2} + 1 = - 4

2 - 5 ∣ 5 n - 5 ∣ = - 73