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) Responses n≤131.1 n less than or equal to 131.1 n≤112.7 n less than or equal to 112.7 n≤11.5 n less than or equal to 11.5 n≤103.5
To solve the inequality, we can start by subtracting 4.6 from both sides:
13n + 4.6 - 4.6 ≤ 39.1 - 4.6
13n ≤ 34.5
Next, we can divide both sides by 13:
13n/13 ≤ 34.5/13
n ≤ 2.65
Therefore, the inequality 13n + 4.6 ≤ 39.1 is true when n is less than or equal to 2.65.
So, the correct answer is:
n ≤ 2.65