2011 AMC 10B Problems/Problem 24
Problem
A lattice point in an -coordinate system is any point where both and are integers. The graph of passes through no lattice point with for all such that . What is the maximum possible value of ?
Solution
We see that for the graph of to not pass through any lattice points its denominator must be greater than . We see that the nearest fraction bigger than that does not have its denominator over is .
See Also
2011 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 23 |
Followed by Problem 25 | |
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