Question

15 less than three times an integer is at most 54. what is the largest integer that could be used for the number?

write an inequality, solve it, and express the answer in words.​

Answer 1

15 less than three times an integer. The largest integer that could be used for the number is 23

Solution:

Given, condition is 15 less than three times an integer is at most 54.

We have to find the largest integer that satisfies the given condition.

Now, let the integer be n.

Then, 15 less than three times an integer ≤ 54

15 less than 3 x n ≤ 54

3n – 15 ≤ 54

3n ≤ 54 + 15

3n ≤ 69

n ≤ 23

So, the largest number 23 as from set of condition satisfying values are 23 and below.

Hence, the largest integer is 23.