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TUYMAADA 2023 J1

  • Junior

Prove that for a,b,c∈[0;1]a, b, c \in [0;1] , (1−a)(1+ab)(1+ac)(1−abc)≤(1+a)(1−ab)(1−ac)(1+abc).(1-a)(1+ab)(1+ac)(1-abc) \leq (1+a)(1-ab)(1-ac)(1+abc).

Dataset text AI-MO AoPS. Quoted with source.

Official text: Tuymaada Olympiad 2023 official paper, page 1.

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