What is the answer to (|4n+5|)/2 =3 ?

The answer to (|4n+5|)/2 =3 is n=-11/4 \lor n= 1/4

Solve for n: (|4n+5|)/2 =3

The solution is n=-11/4 \lor n= 1/4

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\frac{∣ 4 n + 5 ∣}{2} = 3

n = - \frac{11}{4} or n = \frac{1}{4}

Decimal Notation

n = - 2.75, n = 0.25

Solution steps

\frac{∣ 4 n + 5 ∣}{2} = 3

Multiply both sides by

2

∣ 4 n + 5 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 n + 5 = - 6 or 4 n + 5 = 6

4 n + 5 = - 6 or 4 n + 5 = 6

n = - \frac{11}{4} or n = \frac{1}{4}

\frac{2}{3} z - 6 = 12

5 = ∣ t + 2 ∣

2 ∣ 5 x ∣ - 7 = 5

7 = ∣ - 6 x ∣

4 ∣ 5 x - 8 ∣ - 3 = 5

What is the answer to (|4n+5|)/2 =3 ?
The answer to (|4n+5|)/2 =3 is n=-11/4 \lor n= 1/4
Solve for n: (|4n+5|)/2 =3
The solution is n=-11/4 \lor n= 1/4