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Efectuati A U B, A ∩ B, A\B , B\A daca:

A=[-rad7, rad8) si B=(-rad5, rad7]


Răspuns :

AUB=[-rad7,rad8)
A Int B=(-rad5,rad7]
A\B=[-rad7,-rad5] Int (rad7,rad8)
B\A=Mulțimea vida.
[tex]A=[-\sqrt{7},\sqrt{8});~B=(-\sqrt{5},\sqrt{7}][/tex]
[tex]A\cup B=A,~deoarece~A\supset B[/tex]
[tex]A\cap B=B,~deoarece~B\subset A[/tex]
[tex]A\backslash B=[-\sqrt{7},-\sqrt{5}]\cup(\sqrt{7},\sqrt{8})[/tex]
[tex]B\backslash A=\oslash,~deoarece~B\subset A[/tex]