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Thehistoryclub can rent the meeting room for at most8 hours.To solve this problemThe cost of renting the meeting room for t hours is 36 + 8.8t. If the history club wants to spend less than $106.40, then the followinginequalitymust hold:36 + 8.8t < 106.4Simplifying the left-hand side, we get:8.8t < 70.4Dividing both sides by 8.8, we get:t < 8Therefore, thehistoryclub can rent the meeting room for at most8 hours.Learn more aboutinequalityhere :brainly.com/question/25275758#SPJ3...