Let r and n be integers where r is at least 5 and n is at least 5. If the product (r-4)(n-4) is less than 6, what is the maximum value that n can take?

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Official Explanation

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To find the maximum value of n, we start with the smallest possible value for r, which is 5. Then we have (5-4)(n-4) < 6, simplifying to (1)(n-4) < 6.…

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Comments

ElouanApr 13, 2025

Any shortcuts for solving this faster?

BookFeb 8, 2024

Thanks

What this question tests

What it tests

Your ability to solve and combine linear inequalities and reason about ranges of values.

Common trap

Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.