Inequalities Unit Test

Question

11 of 1511 of 15 Items

Question
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 1.2b+35<50 , where b equals the number of books, to help figure this out. Solve his inequality. Use the letter b as your variable and write your b term first.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.

(1 point)

Answer 1

To solve the inequality 1.2b + 35 < 50, we need to isolate the variable, "b".

Subtract 35 from both sides of the inequality:

1.2b + 35 - 35 < 50 - 35

1.2b < 15

Now, divide both sides of the inequality by 1.2:

(1.2b) / 1.2 < 15 / 1.2

b < 12.5

Therefore, Youssef can bring a maximum of 12 books on the trip.