(Originais Teachy 2023) - Question Hard of Mathematics

During a math competition, a team of students needs to calculate the interval of values for x that satisfies the inequality 3x - 5 < 2x + 11. Then, they must relate this interval to the maximum number of hours a group of students can volunteer at a shelter, considering that each student can volunteer from 2 to 4 hours, inclusive. If the number of students volunteering for 2 hours is twice the number of students volunteering for 3 hours, and the total number of students volunteering for 2, 3, or 4 hours is 30, determine the maximum number of hours this group could volunteer and justify your answer based on the solution of the inequality.