2002 AMC 12A Problem 6
Below is the professionally curated solution for Problem 6 of the 2002 AMC 12A, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2002 AMC 12A solutions, or check the answer key.
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Difficulty rating: 1350
6.
For how many positive integers does there exist at least one positive integer such that
infinitely many
Solution:
Taking the inequality becomes which holds for every positive integer
So every positive integer works, and there are infinitely many.
Thus, the correct answer is E.
Problem 6 in Other Years
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