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

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

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

∣ x ∣ + ∣ x + 1 ∣ + ∣ x + 2 ∣ = 3

x = - 2 or x = 0

Solution steps

∣ x ∣ + ∣ x + 1 ∣ + ∣ x + 2 ∣ = 3

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = - 2 or x = 0

x = - 2 or x = 0

∣ x - 2 ∣ + ∣ x ∣ = x^{2} - 2 x

x + 2 = 3

∣ x - 1 ∣ + ∣ x - 2 ∣ = 5

∣ 3 x + 2 ∣ = ∣ x - 1 ∣

∣ x - 1 ∣ + ∣ 4 - x ∣ = 6

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