COMEDK · Maths · 1. Basic of Mathematics
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?
- A \(\{5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15\}\)
- B \(\{5, 6, 7, 8, 9, 10, 11, 12\}\)
- C \(\{6, 7, 8, 9, 10, 11\}\)
- D \(\{6, 7, 8, 9, 10, 11, 12\}\)
Answer & Solution
Correct Answer
(D) \(\{6, 7, 8, 9, 10, 11, 12\}\)
Step-by-step Solution
Detailed explanation
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 \(22\): \(n + 10 \le 22\) \(n \le 12\) Combining the two…
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