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 \geq 1

Solution steps

∣ x - 1 ∣ = ∣ x ∣ - 1

Find positive and negative intervals

x < 0, 0 \leq x < 1, x \geq 1

Solve the inequality for each interval

No Solution or x \geq 1

Merge Overlapping Intervals

x \geq 1

∣ x ∣ + ∣ x - 2 ∣ > 2

- 5 (\frac{1}{2})^{2}

- 56 k = - 10

\frac{8}{14} = \frac{x}{12}

2 x^{2} + 5 x - 7