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

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

Solve for x: |x-1|+|x-2|=2

The solution is x= 1/2 \lor x= 5/2

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∣ x - 1 ∣ + ∣ x - 2 ∣ = 2

x = \frac{1}{2} or x = \frac{5}{2}

Decimal Notation

x = 0.5, x = 2.5

Solution steps

∣ x - 1 ∣ + ∣ x - 2 ∣ = 2

Find positive and negative intervals

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

Solve the inequality for each interval

x = \frac{1}{2} or No Solution or x = \frac{5}{2}

x = \frac{1}{2} or x = \frac{5}{2}

∣ x ∣ + 2 ∣ x - 6 ∣ = 12

∣ z ∣ + ∣ z - 4 ∣ = 6

∣ x + 2 ∣ = ∣ 2 x - 3 ∣

2 x - x^{2} - 3 = 1

(x - 1) x^{2} - 4 x + 3 + 2 x^{2} + 3 x - 5 = 0

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