What is the answer to |x-1|+|x-2|+|x-3|=6 ?

The answer to |x-1|+|x-2|+|x-3|=6 is x=0\lor x=4

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|x-1|+|x-2|+|x-3|=6

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ = 6

x = 0 or x = 4

Solution steps

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ = 6

Find positive and negative intervals

x < 1, 1 \leq x < 2, 2 \leq x < 3, x \geq 3

Solve the inequality for each interval

x = 0 or No Solution or x = 4

x = 0 or x = 4

x^{2} + x + 1 - x^{2} - x - 1 = 0

∣ 3 x - 5 ∣ = 4

∣ 3 - x ∣ = 5

(x - 1)^{2} + 4 ∣ x - 1 ∣ + 3 = 0

3 x - ∣ 1 - x ∣ = ∣ x + 3 ∣ - 3 ∣ 2 - x ∣

What is the answer to |x-1|+|x-2|+|x-3|=6 ?
The answer to |x-1|+|x-2|+|x-3|=6 is x=0\lor x=4
Solve for x: |x-1|+|x-2|+|x-3|=6
The solution is x=0\lor x=4