What is the answer to |3n-2|= 1/2 ?

The answer to |3n-2|= 1/2 is n= 1/2 \lor n= 5/6

Solve for n: |3n-2|= 1/2

The solution is n= 1/2 \lor n= 5/6

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∣ 3 n - 2 ∣ = \frac{1}{2}

n = \frac{1}{2} or n = \frac{5}{6}

Decimal Notation

n = 0.5, n = 0.83333 \dots

Solution steps

∣ 3 n - 2 ∣ = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 n - 2 = - \frac{1}{2} or 3 n - 2 = \frac{1}{2}

3 n - 2 = - \frac{1}{2} or 3 n - 2 = \frac{1}{2}

n = \frac{1}{2} or n = \frac{5}{6}

3 ∣ 2 x ∣ + 4 = 12

2 ∣ - 5 n ∣ - 2 = 38

7 ∣ x - 4 ∣ = 10

7 ∣ x - 4 ∣ = 24

∣ x + 9 ∣ = 7

What is the answer to |3n-2|= 1/2 ?
The answer to |3n-2|= 1/2 is n= 1/2 \lor n= 5/6
Solve for n: |3n-2|= 1/2
The solution is n= 1/2 \lor n= 5/6