MathDB

Prove this inequality

Source: MTRP 2019 Class 11-Short Answer Type Problems: Problem 3 :-

April 9, 2020

Inequalityinequalities

Problem Statement

Suppose

a

b

c

are three positive real numbers with

a + b + c = 3

. Prove that

\frac{a}{b^2 + c}+\frac{b}{c^2 + a}+\frac{c}{a^2 + b}\geq \frac{3}{2}