2002 AMC 10A Problems/Problem 4

Problem

For how many positive integers m is there at least 1 positive integer n such that $mn \le m + n$ ?

$\text{(A)}\ 4 \qquad \text{(B)}\ 6 \qquad \text{(C)}\ 9 \qquad \text{(D)}\ 12 \qquad \text{(E)}$ Infinite.

We quickly see that for n=1, we have $m\le m+1$ , so (m,1) satisfies the conditions for all m. Our answer is $\boxed{\text{(E) Infinite}}$ .

2002 AMC 10A (Problems • Answer Key • Resources)
Preceded by Problem 3	Followed by Problem 5
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