What is the answer to 10-2|x-1|=1 ?

The answer to 10-2|x-1|=1 is x=-7/2 \lor x= 11/2

Solve for x: 10-2|x-1|=1

The solution is x=-7/2 \lor x= 11/2

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10 - 2 ∣ x - 1 ∣ = 1

x = - \frac{7}{2} or x = \frac{11}{2}

Decimal Notation

x = - 3.5, x = 5.5

Solution steps

10 - 2 ∣ x - 1 ∣ = 1

Move

10

to the right side

- 2 ∣ x - 1 ∣ = - 9

Divide both sides by

- 2

∣ x - 1 ∣ = \frac{9}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - \frac{9}{2} or x - 1 = \frac{9}{2}

x - 1 = - \frac{9}{2} or x - 1 = \frac{9}{2}

x = - \frac{7}{2} or x = \frac{11}{2}

∣ 8 p + 10 ∣ = 2

3 ∣ m ∣ - 6 = 12

∣ 2 x + 2 ∣ = 4

∣ 2 X - 3 ∣ = X - 1

x - ∣ x ∣ = 0

What is the answer to 10-2|x-1|=1 ?
The answer to 10-2|x-1|=1 is x=-7/2 \lor x= 11/2
Solve for x: 10-2|x-1|=1
The solution is x=-7/2 \lor x= 11/2