Answer :
Sure, let’s solve the inequality step-by-step!
1. Start with the inequality:
[tex]\(\frac{1}{3} n + 4.6 \leq 39.1\)[/tex]
2. Isolate the term with [tex]\(n\)[/tex]:
Subtract 4.6 from both sides to move it to the right side of the inequality:
[tex]\[
\frac{1}{3} n \leq 39.1 - 4.6
\][/tex]
Simplifying the right side gives:
[tex]\[
\frac{1}{3} n \leq 34.5
\][/tex]
3. Solve for [tex]\(n\)[/tex]:
To eliminate the fraction, multiply both sides by 3.
[tex]\[
n \leq 34.5 \times 3
\][/tex]
Simplifying the multiplication, we get:
[tex]\[
n \leq 103.5
\][/tex]
Therefore, the possible values for the number [tex]\(n\)[/tex] are all numbers less than or equal to 103.5. The correct choice is [tex]\(n \leq 103.5\)[/tex].
1. Start with the inequality:
[tex]\(\frac{1}{3} n + 4.6 \leq 39.1\)[/tex]
2. Isolate the term with [tex]\(n\)[/tex]:
Subtract 4.6 from both sides to move it to the right side of the inequality:
[tex]\[
\frac{1}{3} n \leq 39.1 - 4.6
\][/tex]
Simplifying the right side gives:
[tex]\[
\frac{1}{3} n \leq 34.5
\][/tex]
3. Solve for [tex]\(n\)[/tex]:
To eliminate the fraction, multiply both sides by 3.
[tex]\[
n \leq 34.5 \times 3
\][/tex]
Simplifying the multiplication, we get:
[tex]\[
n \leq 103.5
\][/tex]
Therefore, the possible values for the number [tex]\(n\)[/tex] are all numbers less than or equal to 103.5. The correct choice is [tex]\(n \leq 103.5\)[/tex].
