Answer :
To solve the inequality Artem wrote, which is [tex]\(\frac{1}{3} n + 4.6 \leq 39.1\)[/tex], we will follow these steps:
1. Subtract 4.6 from both sides of the inequality to isolate the term with [tex]\(n\)[/tex]:
[tex]\[
\frac{1}{3} n + 4.6 - 4.6 \leq 39.1 - 4.6
\][/tex]
Simplifying the right side will give us:
[tex]\[
\frac{1}{3} n \leq 34.5
\][/tex]
2. Multiply each side of the inequality by 3 to solve for [tex]\(n\)[/tex]:
[tex]\[
3 \times \frac{1}{3} n \leq 34.5 \times 3
\][/tex]
This simplifies to:
[tex]\[
n \leq 103.5
\][/tex]
Therefore, the possible values of the number [tex]\(n\)[/tex] are such that [tex]\(n\)[/tex] is less than or equal to 103.5. The correct answer is [tex]\(n \leq 103.5\)[/tex].
1. Subtract 4.6 from both sides of the inequality to isolate the term with [tex]\(n\)[/tex]:
[tex]\[
\frac{1}{3} n + 4.6 - 4.6 \leq 39.1 - 4.6
\][/tex]
Simplifying the right side will give us:
[tex]\[
\frac{1}{3} n \leq 34.5
\][/tex]
2. Multiply each side of the inequality by 3 to solve for [tex]\(n\)[/tex]:
[tex]\[
3 \times \frac{1}{3} n \leq 34.5 \times 3
\][/tex]
This simplifies to:
[tex]\[
n \leq 103.5
\][/tex]
Therefore, the possible values of the number [tex]\(n\)[/tex] are such that [tex]\(n\)[/tex] is less than or equal to 103.5. The correct answer is [tex]\(n \leq 103.5\)[/tex].
