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

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

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

∣ x - 1 ∣ + ∣ x + 1 ∣ > 2

x < - 1 or x > 1

Interval Notation

(- \infty, - 1) \cup (1, \infty)

Solution steps

∣ x - 1 ∣ + ∣ x + 1 ∣ > 2

Find positive and negative intervals

x < - 1, - 1 \leq x < 1, x \geq 1

Solve the inequality for each interval

x < - 1 or No Solution or x > 1

Merge Overlapping Intervals

x < - 1 or x > 1

4 (x + 3)^{2} - 100 = 0

- 4 (2 y) + 11 y = 15

3 x - 4 = x + 2

y^{2} = 10 y + 11

(4 n - 1)^{2} = 16