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 13n+4.6≤39.1

Question

1
3
𝑛
+
4.6
≤
39.1
, where n equals the number, to help solve this problem. Solve his inequality.(1 point)
Responses

n≤103.5
𝑛
≤
103.5
n less than or equal to 103.5

n≤112.7
𝑛
≤
112.7
n less than or equal to 112.7

n≤11.5
𝑛
≤
11.5
n less than or equal to 11.5

n≤131.1

Answer 1

To solve the inequality \( \frac{1}{3}n + 4.6 \leq 39.1 \), we will first isolate \( n \).

1. Subtract 4.6 from both sides: \[ \frac{1}{3}n \leq 39.1 - 4.6 \] \[ \frac{1}{3}n \leq 34.5 \]

2. Next, multiply both sides by 3 to eliminate the fraction: \[ n \leq 34.5 \times 3 \] \[ n \leq 103.5 \]

Thus, the solution to the inequality is: \[ n \leq 103.5 \]

So, the correct response from the options you provided is:

• \( n \leq 103.5 \)
• \( n \) less than or equal to 103.5