What is the answer to |x+4|+1=2 ?

The answer to |x+4|+1=2 is x=-5\lor x=-3

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|x+4|+1=2

∣ x + 4 ∣ + 1 = 2

x = - 5 or x = - 3

Solution steps

∣ x + 4 ∣ + 1 = 2

Move

1

to the right side

∣ x + 4 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 4 = - 1 or x + 4 = 1

x + 4 = - 1 or x + 4 = 1

x = - 5 or x = - 3

∣ 4 - 2 x ∣ \geq 6

4 x^{2} - 4 x - 80

x^{2} + 2 x - 36 > 12

x^{2} + 4 x = 9

(x + 7) (x - 3) = 24