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

The answer to |x-1|-|x-2|= 1/2 is x= 7/4

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|x-1|-|x-2|= 1/2

∣ x - 1 ∣ - ∣ x - 2 ∣ = \frac{1}{2}

x = \frac{7}{4}

Decimal Notation

x = 1.75

Solution steps

∣ x - 1 ∣ - ∣ x - 2 ∣ = \frac{1}{2}

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = \frac{7}{4}

x = \frac{7}{4}

∣ z ∣^{2} z^{2} = 1

x^{2} + 4 x + 3 + 2 x + 5 = 0

∣ 3 x + 7 - 5 x ∣ = 4

- 5 - 2 ∣ x - 2 ∣ = 6

∣ 1 - z ∣ = 1, ∣ z ∣ = 1

What is the answer to |x-1|-|x-2|= 1/2 ?
The answer to |x-1|-|x-2|= 1/2 is x= 7/4
Solve for x: |x-1|-|x-2|= 1/2
The solution is x= 7/4