Youssef is taking a trip on an airplane. He knows that to avoid extra fees his suitcase must weigh under 50 pounds. The suitcase with his clothes weighs 35 pounds. He has room, so he decides to pack some books for his trip, too. Each book weighs on average 1.2 pounds. How many books could he bring on the trip?

He writes the inequality 1.26 + 35 < 50, where b equals the number of books, to help figure this out.

To determine the number of books Youssef can bring on the trip, we can use the inequality provided: 1.26 + 35 < 50.

First, we combine like terms on the left side of the inequality: 36.26 < 50.

Next, we subtract 36.26 from both sides of the inequality: 36.26 - 36.26 < 50 - 36.26.

This simplifies to 0 < 13.74.

Since 0 is always less than any positive value, this inequality is always true. Therefore, there is no restriction on the number of books Youssef can bring on the trip.

He can bring as many books as he likes.