Answer :
To solve the inequality [tex]\(\frac{1}{3}n + 4.6 \leq 39.1\)[/tex], you can follow these steps:
1. Subtract 4.6 from both sides:
[tex]\[
\frac{1}{3}n + 4.6 - 4.6 \leq 39.1 - 4.6
\][/tex]
Simplifying the left side, this becomes:
[tex]\[
\frac{1}{3}n \leq 34.5
\][/tex]
2. Multiply both sides by 3 to isolate [tex]\(n\)[/tex]:
[tex]\[
3 \times \frac{1}{3}n \leq 3 \times 34.5
\][/tex]
This simplifies to:
[tex]\[
n \leq 103.5
\][/tex]
Therefore, the possible values of the number [tex]\(n\)[/tex] are all numbers less than or equal to 103.5. The correct answer is [tex]\(n \leq 103.5\)[/tex].
1. Subtract 4.6 from both sides:
[tex]\[
\frac{1}{3}n + 4.6 - 4.6 \leq 39.1 - 4.6
\][/tex]
Simplifying the left side, this becomes:
[tex]\[
\frac{1}{3}n \leq 34.5
\][/tex]
2. Multiply both sides by 3 to isolate [tex]\(n\)[/tex]:
[tex]\[
3 \times \frac{1}{3}n \leq 3 \times 34.5
\][/tex]
This simplifies to:
[tex]\[
n \leq 103.5
\][/tex]
Therefore, the possible values of the number [tex]\(n\)[/tex] are all numbers less than or equal to 103.5. The correct answer is [tex]\(n \leq 103.5\)[/tex].
