Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ The sum of 4.6 and one-third of a number is equal to at most 39.1. What are all the possible values of the number?

Artem wrote the inequality [tex]\frac{1}{3} n + 4.6 \leq 39.1[/tex], where [tex]n[/tex] equals the number, to help solve this problem.

Solve his inequality:

A. [tex]n \leq 131.1[/tex]
B. [tex]n \leq 112.7[/tex]
C. [tex]n \leq 11.5[/tex]
D. [tex]n \leq 103.5[/tex]

To solve the inequality [tex]$\frac{1}{3}n + 4.6 \leq 39.1$[/tex], you can follow these steps:

1. Subtract 4.6 from both sides:
[tex]\[
\frac{1}{3}n + 4.6 - 4.6 \leq 39.1 - 4.6
\][/tex]
Simplifying the left side, this becomes:
[tex]\[
\frac{1}{3}n \leq 34.5
\][/tex]

2. Multiply both sides by 3 to isolate [tex]$n$[/tex]:
[tex]\[
3 \times \frac{1}{3}n \leq 3 \times 34.5
\][/tex]
This simplifies to:
[tex]\[
n \leq 103.5
\][/tex]

Therefore, the possible values of the number [tex]$n$[/tex] are all numbers less than or equal to 103.5. The correct answer is [tex]$n \leq 103.5$[/tex].