What is the answer to |x-1|=-(x-1) ?

The answer to |x-1|=-(x-1) is x<= 1

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|x-1|=-(x-1)

∣ x - 1 ∣ = - (x - 1)

x \leq 1

Solution steps

∣ x - 1 ∣ = - (x - 1)

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x < 1 or x = 1

Merge Overlapping Intervals

x \leq 1

2 \frac{1}{5} x - 2 = 8

3 ∣ 2 x - 7 ∣ = 21

x^{2} - 4 = 4 + 2 x

∣ x ∣ = x^{2} + x - 63

2 = ∣ - g ∣