What is the answer to 3-2|x+1|=1 ?

The answer to 3-2|x+1|=1 is x=-2\lor x=0

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3-2|x+1|=1

3 - 2 ∣ x + 1 ∣ = 1

x = - 2 or x = 0

Solution steps

3 - 2 ∣ x + 1 ∣ = 1

Move

3

to the right side

- 2 ∣ x + 1 ∣ = - 2

Divide both sides by

- 2

∣ x + 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 1 = - 1 or x + 1 = 1

x + 1 = - 1 or x + 1 = 1

x = - 2 or x = 0

(x^{2} + ∣ x - 1 ∣) = x (x + 2)

(d) ∣ x - 3 ∣ + ∣ x + 5 ∣ = 10

∣ x ∣ + ∣ - 2 ∣ = 22

5 + 3 ∣ 2 x - 7 ∣ = 14

∣ x - 4 ∣ + ∣ x - 10 ∣ = 5