A student needs to buy notebooks ( n ) for a semester. Double the number of notebooks plus 5 must strictly exceed 15, but the number of notebooks plus 10 must be no more than 22. What is the range of notebooks they can buy?

Step-by-step solution

From the first condition, double the number of notebooks plus 5 strictly exceeds 15 : 2n + 5 > 15 2n > 10 n > 5 From the second condition, the number of notebooks plus 10 is no more than 22 : n + 10 22 n 12 Combining the two inequalities, we get 5 Since the number of notebooks must be an integer, the possible values for n are 6, 7, 8, 9, 10, 11, 12 . The set of possible values is 6, 7, 8, 9, 10, 11, 12 . Answer: 6, 7, 8, 9, 10, 11, 12