What is the answer to -|x+1|+2=0 ?

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

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-|x+1|+2=0

- ∣ x + 1 ∣ + 2 = 0

x = - 3 or x = 1

Solution steps

- ∣ x + 1 ∣ + 2 = 0

Move

2

to the right side

- ∣ x + 1 ∣ = - 2

Divide both sides by

- 1

∣ x + 1 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 1 = - 2 or x + 1 = 2

x + 1 = - 2 or x + 1 = 2

x = - 3 or x = 1

- ∣ x + 3 ∣ = - 4

\frac{m}{7} + 1 = 0

- 2 ∣ 5 x - 7 ∣ + 9 = - 1

∣ x + 9 ∣ + 2 = 4

∣ - 5 x + 2 ∣ = x + 26