Fifteen less than four times a number is more than 49. What are all the possible values of the number? Write an inequality that could be used to solve this problem. Use the letter x as your variable and write your x term first.(1 point)
The problem can be translated into an equation as:
4x - 15 > 49
To solve for x, we can add 15 to both sides of the inequality:
4x > 64
Finally, we divide both sides by 4 to isolate x:
x > 16
Therefore, all possible values of the number are greater than 16. The inequality that can be used to solve this problem is:
x > 16
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)