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

The answer to 11-3|x-1|=1 is x=-7/3 \lor x= 13/3

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

The solution is x=-7/3 \lor x= 13/3

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11 - 3 ∣ x - 1 ∣ = 1

x = - \frac{7}{3} or x = \frac{13}{3}

Decimal Notation

x = - 2.33333 \dots, x = 4.33333 \dots

Solution steps

11 - 3 ∣ x - 1 ∣ = 1

Move

11

to the right side

- 3 ∣ x - 1 ∣ = - 10

Divide both sides by

- 3

∣ x - 1 ∣ = \frac{10}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - \frac{10}{3} or x - 1 = \frac{10}{3}

x - 1 = - \frac{10}{3} or x - 1 = \frac{10}{3}

x = - \frac{7}{3} or x = \frac{13}{3}

∣ 3 x - 19 ∣ = - 25

∣ 4 + 5 k ∣ = 29

7 = ∣ 3 x + 9 ∣ + 7

\frac{1}{2} ∣ x - 9 ∣ = 16

- 12 ∣ 9 x + 1 ∣ = 144

What is the answer to 11-3|x-1|=1 ?
The answer to 11-3|x-1|=1 is x=-7/3 \lor x= 13/3
Solve for x: 11-3|x-1|=1
The solution is x=-7/3 \lor x= 13/3