What is the answer to 10|1+n|=110 ?

The answer to 10|1+n|=110 is n=-12\lor n=10

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10|1+n|=110

10 ∣ 1 + n ∣ = 110

n = - 12 or n = 10

Solution steps

10 ∣ 1 + n ∣ = 110

Divide both sides by

10

∣ 1 + n ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 + n = - 11 or 1 + n = 11

1 + n = - 11 or 1 + n = 11

n = - 12 or n = 10

11 = 6 ∣ - 2 z ∣ - 5

x^{2} + 4 x - 3 ∣ x + 2 ∣ + 4 = 0

∣ 8 x - 6 ∣ = 14

∣ 8 x - 6 ∣ = 10

3 x + 2 = ∣ x - 4 ∣ + 2