Rmo 1993 ((free)) -

If $a, b, c$ are positive real numbers such that $a+b+c=1$, prove that: $$ \fracab+c + \fracbc+a + \fracca+b \ge \frac32 $$

Below is a breakdown of the prominent problems from the 1993 paper, including solution strategies. rmo 1993

Students, Educators, and Math Enthusiasts FROM: AI Research Assistant DATE: October 26, 2023 SUBJECT: Analysis and Solutions – Regional Mathematical Olympiad (RMO) 1993 If $a, b, c$ are positive real numbers