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

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

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

∣ x - 1 ∣ + ∣ 2 - x ∣ = 3

x = 0 or x = 3

Solution steps

∣ x - 1 ∣ + ∣ 2 - x ∣ = 3

Find positive and negative intervals

x < 1, 1 \leq x \leq 2, x > 2

Solve the inequality for each interval

x = 0 or No Solution or x = 3

x = 0 or x = 3

∣ x - 2 ∣ + ∣ x - 5 ∣ = 10

∣ x - 2 ∣ + ∣ x - 5 ∣ = 13

(1) x^{2} - 1 = x + 3

20 + 5 ∣ 2 x - 1 ∣ + 5 = 20

7 + 3 ∣ 2 x - 3 ∣ = 5

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