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

The answer to 9-3|x-2|=4 is x= 1/3 \lor x= 11/3

Solve for x: 9-3|x-2|=4

The solution is x= 1/3 \lor x= 11/3

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9 - 3 ∣ x - 2 ∣ = 4

x = \frac{1}{3} or x = \frac{11}{3}

Decimal Notation

x = 0.33333 \dots, x = 3.66666 \dots

Solution steps

9 - 3 ∣ x - 2 ∣ = 4

Move

9

to the right side

- 3 ∣ x - 2 ∣ = - 5

Divide both sides by

- 3

∣ x - 2 ∣ = \frac{5}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{5}{3} or x - 2 = \frac{5}{3}

x - 2 = - \frac{5}{3} or x - 2 = \frac{5}{3}

x = \frac{1}{3} or x = \frac{11}{3}

∣ b + 2 ∣ = 1

\frac{z}{4} + 5 = - 7

∣ x - 2 ∣ = 3 - x

2 = ∣ r + 4 ∣

∣ 2 x + 7 ∣ = 11

What is the answer to 9-3|x-2|=4 ?
The answer to 9-3|x-2|=4 is x= 1/3 \lor x= 11/3
Solve for x: 9-3|x-2|=4
The solution is x= 1/3 \lor x= 11/3