What is the answer to |3x-4|= 1/2 ?

The answer to |3x-4|= 1/2 is x= 7/6 \lor x= 3/2

Solve for x: |3x-4|= 1/2

The solution is x= 7/6 \lor x= 3/2

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∣ 3 x - 4 ∣ = \frac{1}{2}

x = \frac{7}{6} or x = \frac{3}{2}

Decimal Notation

x = 1.16666 \dots, x = 1.5

Solution steps

∣ 3 x - 4 ∣ = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - \frac{1}{2} or 3 x - 4 = \frac{1}{2}

3 x - 4 = - \frac{1}{2} or 3 x - 4 = \frac{1}{2}

x = \frac{7}{6} or x = \frac{3}{2}

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

3 x^{2} - 14 x + 11

\frac{7 !}{( 7 - 4 ) ! 4 !}

4 x^{2} + 8 x + 27 = 88

v + \frac{1}{8} > 10

What is the answer to |3x-4|= 1/2 ?
The answer to |3x-4|= 1/2 is x= 7/6 \lor x= 3/2
Solve for x: |3x-4|= 1/2
The solution is x= 7/6 \lor x= 3/2