What is |x-1|+|x-2|>1 ?

The solution to |x-1|+|x-2|>1 is x 2

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|x-1|+|x-2|>1

∣ x - 1 ∣ + ∣ x - 2 ∣ > 1

x < 1 or x > 2

Solution steps

∣ x - 1 ∣ + ∣ x - 2 ∣ > 1

Find positive and negative intervals

x < 1, 1 \leq x < 2, x \geq 2

Solve the inequality for each interval

x < 1 or No Solution or x > 2

Merge Overlapping Intervals

x < 1 or x > 2

b^{2} + b - 20

8^{3} = 16

x^{4} + 20 x^{2} + 100

- \frac{1}{0.02}

(- 4)^{\frac{2}{7}}