What is the answer to 2|3x-4|+7=9 ?

The answer to 2|3x-4|+7=9 is x=1\lor x= 5/3

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2|3x-4|+7=9

2 ∣ 3 x - 4 ∣ + 7 = 9

x = 1 or x = \frac{5}{3}

Decimal Notation

x = 1, x = 1.66666 \dots

Solution steps

2 ∣ 3 x - 4 ∣ + 7 = 9

Move

7

to the right side

2 ∣ 3 x - 4 ∣ = 2

Divide both sides by

2

∣ 3 x - 4 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 1 or 3 x - 4 = 1

3 x - 4 = - 1 or 3 x - 4 = 1

x = 1 or x = \frac{5}{3}

6 h + 5 = h - 8

- y \geq 18

⌈ - \frac{3}{5} ⌉

4 x - 7 > 9 x - 2

\frac{6}{25} \cdot \frac{5}{9}