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, where n equals the number, to help solve this problem. Solve his inequality.(1 point)%0D%0AResponses%0D%0A%0D%0An≤112.7%0D%0A n less than or equal to 112.7%0D%0A%0D%0An≤131.1%0D%0A n less than or equal to 131.1%0D%0A%0D%0An≤11.5%0D%0A n less than or equal to 11.5%0D%0A%0D%0An≤103.5

1 answer

To solve the inequality 13n + 4.6 ≤ 39.1, we first subtract 4.6 from both sides of the inequality:

13n ≤ 39.1 - 4.6

This simplifies to:

13n ≤ 34.5

Next, we divide both sides of the inequality by 13 to solve for n:

n ≤ 34.5 / 13

This simplifies to:

n ≤ 2.65384615385

Therefore, the possible values for the number n are all real numbers less than or equal to 2.65384615385.