Answer :
To solve the inequality [tex]\(\frac{1}{3} n + 4.6 \leq 39.1\)[/tex], follow these steps:
1. Subtract 4.6 from both sides:
Start by isolating the term with [tex]\(n\)[/tex]. Subtract 4.6 from both sides of the inequality:
[tex]\[
\frac{1}{3} n \leq 39.1 - 4.6
\][/tex]
2. Simplify the right side:
Calculate the difference:
[tex]\[
39.1 - 4.6 = 34.5
\][/tex]
So, the inequality becomes:
[tex]\[
\frac{1}{3} n \leq 34.5
\][/tex]
3. Multiply both sides by 3:
To solve for [tex]\(n\)[/tex], multiply both sides of the inequality by 3 to clear the fraction:
[tex]\[
n \leq 3 \times 34.5
\][/tex]
4. Calculate the product:
[tex]\[
3 \times 34.5 = 103.5
\][/tex]
Thus, the possible values for [tex]\(n\)[/tex] are:
[tex]\[
n \leq 103.5
\][/tex]
The correct answer is: [tex]\(n \leq 103.5\)[/tex].
1. Subtract 4.6 from both sides:
Start by isolating the term with [tex]\(n\)[/tex]. Subtract 4.6 from both sides of the inequality:
[tex]\[
\frac{1}{3} n \leq 39.1 - 4.6
\][/tex]
2. Simplify the right side:
Calculate the difference:
[tex]\[
39.1 - 4.6 = 34.5
\][/tex]
So, the inequality becomes:
[tex]\[
\frac{1}{3} n \leq 34.5
\][/tex]
3. Multiply both sides by 3:
To solve for [tex]\(n\)[/tex], multiply both sides of the inequality by 3 to clear the fraction:
[tex]\[
n \leq 3 \times 34.5
\][/tex]
4. Calculate the product:
[tex]\[
3 \times 34.5 = 103.5
\][/tex]
Thus, the possible values for [tex]\(n\)[/tex] are:
[tex]\[
n \leq 103.5
\][/tex]
The correct answer is: [tex]\(n \leq 103.5\)[/tex].
