Question

the sum of 4.6 and one - third a number is equal to at most 39.1. what are all the possible values of the number? artem wrote the inequality \\(\frac{1}{3}n + 4.6 \leq 39.1\\), where \\(n\\) equals the number, to help solve this problem. solve his inequality. (1 point)
\\(\bigcirc\\) \\(n \leq 112.7\\)
\\(\bigcirc\\) \\(n \leq 131.1\\)
\\(\bigcirc\\) \\(n \leq 103.5\\)
\\(\bigcirc\\) \\(n \leq 11.5\\)

Explanation:

Step1: Isolate the term with $n$

Subtract 4.6 from both sides:
$\frac{1}{3}n + 4.6 - 4.6 \leq 39.1 - 4.6$
$\frac{1}{3}n \leq 34.5$

Step2: Solve for $n$

Multiply both sides by 3:
$3 \times \frac{1}{3}n \leq 34.5 \times 3$
$n \leq 103.5$

Answer:

C. $n \leq 103.5$