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Prove-that-1-Sup-A-B-max-Sup-A-Sup-B-2-inf-A-B-min-inf-A-inf-B-




Question Number 159736 by LEKOUMA last updated on 20/Nov/21
Prove that  1)Sup(A∪B)=max(Sup(A), Sup(B))  2) inf(A∪B)=min(inf(A), inf(B))
$${Prove}\:{that} \\ $$$$\left.\mathrm{1}\right){Sup}\left({A}\cup{B}\right)={ma}\mathrm{x}\left(\mathrm{S}{up}\left({A}\right),\:{Sup}\left({B}\right)\right) \\ $$$$\left.\mathrm{2}\right)\:{inf}\left({A}\cup{B}\right)={min}\left({inf}\left({A}\right),\:{inf}\left({B}\right)\right) \\ $$

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