MathDB
Product-Sum Inequality

Source:

February 11, 2008
inequalities

Problem Statement

For how many positive integers m m does there exist at least one positive integer n n such that m\cdot n \le m \plus{} n? <spanclass=′latex−bold′>(A)</span> 4<spanclass=′latex−bold′>(B)</span> 6<spanclass=′latex−bold′>(C)</span> 9<spanclass=′latex−bold′>(D)</span> 12<spanclass=′latex−bold′>(E)</span> <span class='latex-bold'>(A)</span>\ 4 \qquad <span class='latex-bold'>(B)</span>\ 6 \qquad <span class='latex-bold'>(C)</span>\ 9 \qquad <span class='latex-bold'>(D)</span>\ 12 \qquad <span class='latex-bold'>(E)</span> infinitely many
Back to ProblemsView on AoPS