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

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

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|x|+|x+2|=2

∣ x ∣ + ∣ x + 2 ∣ = 2

- 2 \leq x \leq 0

Solution steps

∣ x ∣ + ∣ x + 2 ∣ = 2

Find positive and negative intervals

x < - 2, - 2 \leq x < 0, x \geq 0

Solve the inequality for each interval

No Solution or - 2 \leq x < 0 or x = 0

Merge Overlapping Intervals

- 2 \leq x \leq 0

∣ x - 2 ∣ + ∣ x - 5 ∣ = 7

∣ x + 5 ∣ = - 7

- ∣ x ∣ = - 8.12

x^{3} - 6 x^{2} + 11 x - 6 = 6

10 - ∣ x + 1 ∣ = 5