What is the answer to |2n|+9=11 ?

The answer to |2n|+9=11 is n=-1\lor n=1

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|2n|+9=11

∣ 2 n ∣ + 9 = 11

n = - 1 or n = 1

Solution steps

∣ 2 n ∣ + 9 = 11

Move

9

to the right side

∣ 2 n ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 n = - 2 or 2 n = 2

2 n = - 2 or 2 n = 2

n = - 1 or n = 1

- ∣ 2 x + 5 ∣ + 4 = - 13

∣ 9 - 2 x ∣ = 10

∣ x + 10 ∣ = 3

- 9 (x^{2} - 1) = 9

∣ x - 7.5 ∣ = 3.5