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Answer :
To solve the inequality [tex]\( \frac{1}{3}n + 4.6 \leq 39.1 \)[/tex], follow these steps:
1. Isolate the term with [tex]\( n \)[/tex]:
Start by getting rid of the constant term (4.6) on the left side. To do this, subtract 4.6 from both sides of the inequality:
[tex]\[
\frac{1}{3}n + 4.6 - 4.6 \leq 39.1 - 4.6
\][/tex]
Simplifying both sides gives:
[tex]\[
\frac{1}{3}n \leq 34.5
\][/tex]
2. Solve for [tex]\( n \)[/tex]:
To isolate [tex]\( n \)[/tex], you need to get rid of the fraction [tex]\(\frac{1}{3}\)[/tex]. Multiply both sides by 3:
[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 such that [tex]\( n \leq 103.5 \)[/tex].
So the correct choice is [tex]\( n \leq 103.5 \)[/tex].
1. Isolate the term with [tex]\( n \)[/tex]:
Start by getting rid of the constant term (4.6) on the left side. To do this, subtract 4.6 from both sides of the inequality:
[tex]\[
\frac{1}{3}n + 4.6 - 4.6 \leq 39.1 - 4.6
\][/tex]
Simplifying both sides gives:
[tex]\[
\frac{1}{3}n \leq 34.5
\][/tex]
2. Solve for [tex]\( n \)[/tex]:
To isolate [tex]\( n \)[/tex], you need to get rid of the fraction [tex]\(\frac{1}{3}\)[/tex]. Multiply both sides by 3:
[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 such that [tex]\( n \leq 103.5 \)[/tex].
So the correct choice is [tex]\( n \leq 103.5 \)[/tex].
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