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)

1 answer

1/3n + 4.6 ≤ 39.1

To solve the inequality, let's first subtract 4.6 from both sides:
1/3n ≤ 39.1 - 4.6

This simplifies to:
1/3n ≤ 34.5

To isolate n, multiply both sides of the inequality by 3 (since 1/3 can be written as 3/1):
3(1/3n) ≤ 3(34.5)

This simplifies to:
n ≤ 103.5

Therefore, the possible values of the number (n) are all real numbers less than or equal to 103.5.