Answer :
To solve the inequality Artem wrote, follow these steps:
1. Start with the inequality:
[tex]\(\frac{1}{3} n + 4.6 \leq 39.1\)[/tex].
2. Subtract 4.6 from both sides to isolate the term with [tex]\(n\)[/tex]:
[tex]\(\frac{1}{3} n \leq 39.1 - 4.6\)[/tex].
3. Calculate the right side:
[tex]\(39.1 - 4.6 = 34.5\)[/tex].
4. Therefore, the inequality becomes:
[tex]\(\frac{1}{3} n \leq 34.5\)[/tex].
5. To solve for [tex]\(n\)[/tex], multiply both sides of the inequality by 3 to eliminate the fraction:
[tex]\(n \leq 3 \times 34.5\)[/tex].
6. Calculate the result:
[tex]\(3 \times 34.5 = 103.5\)[/tex].
So, the possible values for the number [tex]\(n\)[/tex] are:
[tex]\(n \leq 103.5\)[/tex].
This means the number can be any value less than or equal to 103.5.
1. Start with the inequality:
[tex]\(\frac{1}{3} n + 4.6 \leq 39.1\)[/tex].
2. Subtract 4.6 from both sides to isolate the term with [tex]\(n\)[/tex]:
[tex]\(\frac{1}{3} n \leq 39.1 - 4.6\)[/tex].
3. Calculate the right side:
[tex]\(39.1 - 4.6 = 34.5\)[/tex].
4. Therefore, the inequality becomes:
[tex]\(\frac{1}{3} n \leq 34.5\)[/tex].
5. To solve for [tex]\(n\)[/tex], multiply both sides of the inequality by 3 to eliminate the fraction:
[tex]\(n \leq 3 \times 34.5\)[/tex].
6. Calculate the result:
[tex]\(3 \times 34.5 = 103.5\)[/tex].
So, the possible values for the number [tex]\(n\)[/tex] are:
[tex]\(n \leq 103.5\)[/tex].
This means the number can be any value less than or equal to 103.5.