What is the answer to 5-|n-9|=3 ?

The answer to 5-|n-9|=3 is n=7\lor n=11

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5-|n-9|=3

5 - ∣ n - 9 ∣ = 3

n = 7 or n = 11

Solution steps

5 - ∣ n - 9 ∣ = 3

Move

5

to the right side

- ∣ n - 9 ∣ = - 2

Divide both sides by

- 1

∣ n - 9 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

n - 9 = - 2 or n - 9 = 2

n - 9 = - 2 or n - 9 = 2

n = 7 or n = 11

∣ 4 x - 4 ∣ = 16

∣ b ∣ + 4 = 8

∣ x ∣ = x^{3}

∣ 100 - x ∣ = 50

∣ 2 x + 5 ∣ - 4 = 6