For all n E N, let An = {0, 2n, 4n, 6n, . . {x € Z|(3n E NU{0})(x = 2n)}. (a) Find (with proof) [U An. nEN (b) Find (with proof) N An. nEN

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Proficiency #14. [Arbitrary Unions and Intersections]
For all n e N, let A,
= {0, 2n, 4n, 6n, ...} = {x € Z|(an E NU{0})(x = 2n)}.
(a) Find (with proof) U An.
nEN
(b) Find (with proof) An.
NEN
Transcribed Image Text:Proficiency #14. [Arbitrary Unions and Intersections] For all n e N, let A, = {0, 2n, 4n, 6n, ...} = {x € Z|(an E NU{0})(x = 2n)}. (a) Find (with proof) U An. nEN (b) Find (with proof) An. NEN
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