Difference between revisions of "2002 AMC 10A Problems/Problem 4"

(New page: ==Problem== For how many positive integers m is there at least 1 positive integer n such that <math>mn \le m + n</math>? <math>\text{(A)}\ 4 \qquad \text{(B)}\ 6 \qquad \text{(C)}\ 9 \qqu...)
 
 
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==Problem==
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#redirect [[2002 AMC 12A Problems/Problem 6]]
For how many positive integers m is there at least 1 positive integer n such that <math>mn \le m + n</math>?
 
 
 
<math>\text{(A)}\ 4 \qquad \text{(B)}\ 6 \qquad \text{(C)}\ 9 \qquad \text{(D)}\ 12 \qquad \text{(E)}</math> Infinite.
 
 
 
==Solution==
 
We quickly see that for n=1, we have <math>m\le{m}</math>, so (m,1) satisfies the conditions for all m. Our answer is <math>\text{(E)}</math> Infinite
 

Latest revision as of 06:56, 18 February 2009