What is the answer to 1+| n/2 |=2 ?

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

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1+| n/2 |=2

1 + \frac{n}{2} = 2

n = - 2 or n = 2

Solution steps

1 + \frac{n}{2} = 2

Move

1

to the right side

\frac{n}{2} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

n = - 2 or n = 2

∣ 3 h + 2 ∣ = 14 - 8

2 ∣ d + 4 ∣ = 8

∣ - 2 x + 3 ∣ = ∣ 5 x + 1 ∣

1 + x + 2 ∣ x ∣ = 0

- 7 + 2 ∣ - 2 x + 10 ∣ = 9