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

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

Solve for x: |3x-1/2 |= 3/2

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

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

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

Decimal Notation

x = - 0.33333 \dots, x = 0.66666 \dots

Solution steps

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

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

16 x^{2} = 36

4 ∣ x - 3 ∣ + 4 > 13

∣ 5 x + 3 ∣ - 10 = - 3

(x \cdot 2198)^{2} + (2192)^{2} \leq 2400

m^{3} + 64 n^{3}

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