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

The answer to 1/2 |3x-4|=3 is x=-2/3 \lor x= 10/3

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

The solution is x=-2/3 \lor x= 10/3

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\frac{1}{2} ∣ 3 x - 4 ∣ = 3

x = - \frac{2}{3} or x = \frac{10}{3}

Decimal Notation

x = - 0.66666 \dots, x = 3.33333 \dots

Solution steps

\frac{1}{2} ∣ 3 x - 4 ∣ = 3

Multiply both sides by

2

∣ 3 x - 4 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 6 or 3 x - 4 = 6

3 x - 4 = - 6 or 3 x - 4 = 6

x = - \frac{2}{3} or x = \frac{10}{3}

- 7 ∣ k + 6 ∣ = - 21

∣ x - 3 ∣ - 5 = 2 x

∣ 4 x - 1 ∣ = 2 x

∣ u - 175 ∣ - 2 = 223

∣ t + 4 ∣ - 6 = 10

What is the answer to 1/2 |3x-4|=3 ?
The answer to 1/2 |3x-4|=3 is x=-2/3 \lor x= 10/3
Solve for x: 1/2 |3x-4|=3
The solution is x=-2/3 \lor x= 10/3