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

The answer to |x+5|=4 is x=-9\lor x=-1

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|x+5|=4

∣ x + 5 ∣ = 4

x = - 9 or x = - 1

Solution steps

∣ x + 5 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 5 = - 4 or x + 5 = 4

x + 5 = - 4 or x + 5 = 4

x = - 9 or x = - 1

(5 x^{2} y^{5})^{2}

(3 y^{3})^{4} (4 y^{2})^{- 3}

(a^{4})^{2}

7 < x + 9 < 9

∣ x - 3 ∣ - ∣ x + 1 ∣ > 2