MathDB

2

Part of 1959 Czech and Slovak Olympiad III A

Problems(1)

Positive symmetric expressions

Source: Czech and Slovak Olympiad 1959, National Round, Problem 2

6/14/2024
Let a,b,ca, b, c be real numbers such that a+b+c>0a+b+c > 0, ab+bc+ca>0ab+bc+ca > 0, abc>0abc > 0. Show that a,b,ca, b, c are all positive.
inequalitiessymmetry