What is the answer to 5-|4+x|=1 ?

The answer to 5-|4+x|=1 is x=-8\lor x=0

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5-|4+x|=1

5 - ∣ 4 + x ∣ = 1

x = - 8 or x = 0

Solution steps

5 - ∣ 4 + x ∣ = 1

Move

5

to the right side

- ∣ 4 + x ∣ = - 4

Divide both sides by

- 1

∣ 4 + x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 + x = - 4 or 4 + x = 4

4 + x = - 4 or 4 + x = 4

x = - 8 or x = 0

- 4 < 4 - 2 x \leq 14

- 9 < - \frac{1}{5} x

2 b + 4 = 6 b - 32

100 (1 + I)^{2} = 200

\frac{8 x}{6} = \frac{72}{54}