2002 AMC 10A Problems/Problem 4: Difference between revisions

Latest revision as of 06:56, 18 February 2009

Redirect to:

@@ Line 1: / Line 1: @@
-==Problem==
+#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