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)
Responses
n≤103.5
n≤11.5
n≤112.7
n≤131.1
To solve the inequality 1/3n + 4.6 ≤ 39.1, we can start by subtracting 4.6 from both sides:
1/3n ≤ 39.1 - 4.6
1/3n ≤ 34.5
To get rid of the fraction, we can multiply both sides of the inequality by 3:
3 * 1/3n ≤ 3 * 34.5
n ≤ 103.5
Therefore, the correct answer is:
n ≤ 103.5