Answer :
Sure! Let's solve the inequality step-by-step:
We are given the inequality:
[tex]\[
\frac{1}{3} n + 4.6 \leq 39.1
\][/tex]
and we need to find the possible values for the number [tex]\( n \)[/tex].
1. Subtract 4.6 from both sides:
To isolate the term with [tex]\( n \)[/tex], start by subtracting 4.6 from both sides:
[tex]\[
\frac{1}{3} n \leq 39.1 - 4.6
\][/tex]
2. Simplify the right side:
Perform the subtraction on the right side:
[tex]\[
\frac{1}{3} n \leq 34.5
\][/tex]
3. Solve for [tex]\( n \)[/tex]:
To solve for [tex]\( n \)[/tex], multiply both sides by 3 to get rid of the fraction:
[tex]\[
n \leq 34.5 \times 3
\][/tex]
4. Calculate the result:
Now calculate the multiplication:
[tex]\[
n \leq 103.5
\][/tex]
So, the possible values for the number [tex]\( n \)[/tex] are those that are less than or equal to 103.5. Therefore, the correct answer is [tex]\( n \leq 103.5 \)[/tex].
We are given the inequality:
[tex]\[
\frac{1}{3} n + 4.6 \leq 39.1
\][/tex]
and we need to find the possible values for the number [tex]\( n \)[/tex].
1. Subtract 4.6 from both sides:
To isolate the term with [tex]\( n \)[/tex], start by subtracting 4.6 from both sides:
[tex]\[
\frac{1}{3} n \leq 39.1 - 4.6
\][/tex]
2. Simplify the right side:
Perform the subtraction on the right side:
[tex]\[
\frac{1}{3} n \leq 34.5
\][/tex]
3. Solve for [tex]\( n \)[/tex]:
To solve for [tex]\( n \)[/tex], multiply both sides by 3 to get rid of the fraction:
[tex]\[
n \leq 34.5 \times 3
\][/tex]
4. Calculate the result:
Now calculate the multiplication:
[tex]\[
n \leq 103.5
\][/tex]
So, the possible values for the number [tex]\( n \)[/tex] are those that are less than or equal to 103.5. Therefore, the correct answer is [tex]\( n \leq 103.5 \)[/tex].
