What is the answer to |9-4n|=5 ?

The answer to |9-4n|=5 is n=1\lor n= 7/2

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|9-4n|=5

∣ 9 - 4 n ∣ = 5

n = 1 or n = \frac{7}{2}

Decimal Notation

n = 1, n = 3.5

Solution steps

∣ 9 - 4 n ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 - 4 n = - 5 or 9 - 4 n = 5

9 - 4 n = - 5 or 9 - 4 n = 5

n = 1 or n = \frac{7}{2}

- 17 = ∣ x + 10 ∣

8 ∣ - 4 m - 4 ∣ = 64

- 4 ∣ x + 9 ∣ = - 8

12 - ∣ 3 x + 2 ∣ = 2

6 = ∣ m - 7 ∣ + 9