What is the answer to |x-1|+|x-2|=5 ?

The answer to |x-1|+|x-2|=5 is x=-1\lor x=4

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|x-1|+|x-2|=5

∣ x - 1 ∣ + ∣ x - 2 ∣ = 5

x = - 1 or x = 4

Solution steps

∣ x - 1 ∣ + ∣ x - 2 ∣ = 5

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 1 or No Solution or x = 4

x = - 1 or x = 4

∣ 3 x + 2 ∣ = ∣ x - 1 ∣

∣ x - 1 ∣ + ∣ 4 - x ∣ = 6

x^{2} - 5 ∣ x - 1 ∣ - 1 = 0

4 - 2 ∣ x - 1 ∣ = 7

∣ 3 x - 9 ∣ = 7 x - 29

What is the answer to |x-1|+|x-2|=5 ?
The answer to |x-1|+|x-2|=5 is x=-1\lor x=4
Solve for x: |x-1|+|x-2|=5
The solution is x=-1\lor x=4