Answer :
To solve the inequality [tex]\((\frac{1}{3})n + 4.6 \leq 39.1\)[/tex] and find all possible values of the number [tex]\(n\)[/tex], 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:
[tex]\[
\frac{1}{3}n \leq 39.1 - 4.6
\][/tex]
3. Calculate the right side:
[tex]\[
\frac{1}{3}n \leq 34.5
\][/tex]
4. Multiply both sides by 3 to solve for [tex]\(n\)[/tex]:
[tex]\[
n \leq 3 \times 34.5
\][/tex]
5. Calculate the result:
[tex]\[
n \leq 103.5
\][/tex]
So, the possible values for the number [tex]\(n\)[/tex] are all numbers that are less than or equal to 103.5. Therefore, the correct answer is [tex]\(n \leq 103.5\)[/tex].
1. Start with the inequality:
[tex]\[
\frac{1}{3}n + 4.6 \leq 39.1
\][/tex]
2. Subtract 4.6 from both sides:
[tex]\[
\frac{1}{3}n \leq 39.1 - 4.6
\][/tex]
3. Calculate the right side:
[tex]\[
\frac{1}{3}n \leq 34.5
\][/tex]
4. Multiply both sides by 3 to solve for [tex]\(n\)[/tex]:
[tex]\[
n \leq 3 \times 34.5
\][/tex]
5. Calculate the result:
[tex]\[
n \leq 103.5
\][/tex]
So, the possible values for the number [tex]\(n\)[/tex] are all numbers that are less than or equal to 103.5. Therefore, the correct answer is [tex]\(n \leq 103.5\)[/tex].
