Show that the sum of a positive number and its reciprocal
must be at least 2.
Tags: max-min, rational, classic, t1, c2
This is a good problem because students have to come up with a mathematical statement (an inequality) that they must prove. It requires them to figure out how to use what they’ve studied up to this point in order to answer the question.
– James Epperson 1998-08-09