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

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

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-|x|+1=0

- ∣ x ∣ + 1 = 0

x = - 1 or x = 1

Solution steps

- ∣ x ∣ + 1 = 0

Move

1

to the right side

- ∣ x ∣ = - 1

Divide both sides by

- 1

∣ x ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 1 or x = 1

∣ 1 - x ∣ = 5 x

∣ 4 x - 15 ∣ + 1 = 18

- 4 = - ∣ x - 8 ∣ + 5

2 ∣ 3 x + 2 ∣ + 1 = 3

- 4 = - ∣ x - 8 ∣ - 2