olymmath

JBMO-SL 2019 A6

    Let a,b,ca, b, c be positive real numbers. Prove the inequality

    (a2+ac+c2)(1a+b+c+1a+c)+b2(1b+c+1a+b)>a+b+c\left(a^{2}+a c+c^{2}\right)\left(\frac{1}{a+b+c}+\frac{1}{a+c}\right)+b^{2}\left(\frac{1}{b+c}+\frac{1}{a+b}\right)>a+b+c

    Dataset text NuminaMath olympiads. Quoted with source.

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