What is the answer to |x|+|x-1|+|x+2|=3 ?

The answer to |x|+|x-1|+|x+2|=3 is x=0

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|x|+|x-1|+|x+2|=3

∣ x ∣ + ∣ x - 1 ∣ + ∣ x + 2 ∣ = 3

x = 0

Solution steps

∣ x ∣ + ∣ x - 1 ∣ + ∣ x + 2 ∣ = 3

Find positive and negative intervals

x < - 2, - 2 \leq x < 0, 0 \leq x < 1, x \geq 1

Solve the inequality for each interval

No Solution or x = 0

x = 0

∣ x + 1 ∣ + ∣ x - 3 ∣ = 3 x - 4

2 x^{2} + ∣ x ∣ - 6 = 0

∣ 1 + 5 x ∣ = - 3

∣ x + 3 ∣ = 2 (5 - x)

∣ x ∣ + ∣ x + 1 ∣ + ∣ x + 2 ∣ = 0

What is the answer to |x|+|x-1|+|x+2|=3 ?
The answer to |x|+|x-1|+|x+2|=3 is x=0
Solve for x: |x|+|x-1|+|x+2|=3
The solution is x=0