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.

A. n < 131.1
B. n < 11.5
C. n < 112.7
D. n < 103.5

1 answer

To solve the inequality 1/3n + 4.6 < 39.1, first subtract 4.6 from both sides:

1/3n < 34.5

Next, multiply both sides by 3 to get rid of the fraction:

n < 103.5

Therefore, the correct answer is:

D. n < 103.5