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

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

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

The solution is x=-3/2 \lor x= 1/2

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x + \frac{1}{2} = 1

x = - \frac{3}{2} or x = \frac{1}{2}

Decimal Notation

x = - 1.5, x = 0.5

Solution steps

x + \frac{1}{2} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + \frac{1}{2} = - 1 or x + \frac{1}{2} = 1

x + \frac{1}{2} = - 1 or x + \frac{1}{2} = 1

x = - \frac{3}{2} or x = \frac{1}{2}

- 3 ∣ 2 - 3 x ∣ = 9

∣ 3 x - 6 ∣ = 3

∣ 3 x - 6 ∣ = 2

∣ 3 x - 6 ∣ = 6

x^{2} - 4 x = 2 x - 8

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