What is the answer to -|x+3|=-4 ?

The answer to -|x+3|=-4 is x=-7\lor x=1

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-|x+3|=-4

- ∣ x + 3 ∣ = - 4

x = - 7 or x = 1

Solution steps

- ∣ x + 3 ∣ = - 4

Divide both sides by

- 1

∣ x + 3 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 3 = - 4 or x + 3 = 4

x + 3 = - 4 or x + 3 = 4

x = - 7 or x = 1

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

- 2 ∣ 5 x - 7 ∣ + 9 = - 1

∣ x + 9 ∣ + 2 = 4

∣ - 5 x + 2 ∣ = x + 26

x^{4} - 2 + ∣ x ∣ = 0