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To solve the inequality 1.2b + 35 < 50 for b, we can start by subtracting 35 from both sides of the inequality to isolate the term with b:
1.2b + 35 - 35 < 50 - 35
1.2b < 15
Next, we divide both sides of the inequality by 1.2 to solve for b:
(1.2b)/1.2 < 15/1.2
b < 12.5
Since b represents the number of books, and we cannot have a fraction of a book, Youssef can bring a maximum of 12 books on his trip.