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

Answer 1

To solve the inequality 1/3n + 4.6 ≤ 39.1, we can subtract 4.6 from both sides of the inequality:

1/3n + 4.6 - 4.6 ≤ 39.1 - 4.6

This simplifies to:

1/3n ≤ 34.5

To isolate n, we can multiply both sides of the inequality by 3:

3 * 1/3n ≤ 3 * 34.5

This simplifies to:

n ≤ 103.5

Therefore, the possible values of the number (n) are any value less than or equal to 103.5.