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≤11.5
n less than or equal to 11.5
n≤131.1
n less than or equal to 131.1
n≤103.5
n less than or equal to 103.5
n≤112.7
To solve the inequality 13n + 4.6 ≤ 39.1, we need to isolate n.
First, subtract 4.6 from both sides of the inequality:
13n ≤ 39.1 - 4.6
13n ≤ 34.5
Next, divide both sides of the inequality by 13:
n ≤ 34.5/13
n ≤ 2.6538 (rounded to four decimal places)
Therefore, the correct answer is: n ≤ 2.6538, which can be written as n ≤ 2.7 (rounded to one decimal place).
Since n should be less than or equal to 2.7, the correct response is: n≤2.7.