What is the answer to |x-2|+x-2=0 ?

The answer to |x-2|+x-2=0 is x<= 2

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|x-2|+x-2=0

∣ x - 2 ∣ + x - 2 = 0

x \leq 2

Solution steps

∣ x - 2 ∣ + x - 2 = 0

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

∣ 6 x - 4 ∣ + 3 = 15

(x - 2)^{2} = 6 - ∣ x - 3 ∣

1 - \frac{1}{x} - 3 = 0

10 ∣ 4 + 7 x ∣ - 6 = 94

5 ∣ x - 4 ∣ - 10 = 0