What is the answer to 11-3|x-1|=6 ?

The answer to 11-3|x-1|=6 is x=-2/3 \lor x= 8/3

Solve for x: 11-3|x-1|=6

The solution is x=-2/3 \lor x= 8/3

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11 - 3 ∣ x - 1 ∣ = 6

x = - \frac{2}{3} or x = \frac{8}{3}

Decimal Notation

x = - 0.66666 \dots, x = 2.66666 \dots

Solution steps

11 - 3 ∣ x - 1 ∣ = 6

Move

11

to the right side

- 3 ∣ x - 1 ∣ = - 5

Divide both sides by

- 3

∣ x - 1 ∣ = \frac{5}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{2}{3} or x = \frac{8}{3}

∣ n - 3 ∣ = - 7, - 4, 10

∣ 5 - 7 x ∣ = - 1

∣ 2 x - 2 ∣ = 10

4 ∣ 4 - 8 x ∣ = 20

∣ x - 5 ∣ = 2 x - 3

What is the answer to 11-3|x-1|=6 ?
The answer to 11-3|x-1|=6 is x=-2/3 \lor x= 8/3
Solve for x: 11-3|x-1|=6
The solution is x=-2/3 \lor x= 8/3