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1. Sets
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Q8 of 162 Page 1

Mark the correct alternative in the following:

For any two sets A and B, (A − B)(B − A) =


(A∖B)⋃(B∖A)=[A⋂B' ]⋃[B⋂A']


=[A⋃(B⋂A' )]⋂[B'⋃(B⋂A' )]


=[(A⋂B)⋃(A⋂A' )]⋂[(B'⋂B)⋃(B'⋂A' )]


=[(A⋂B)⋃ϕ]⋂[ϕ⋃(B'⋂A' )]


=[(A⋂B)]⋂[(B'⋂A' )


=[(A⋂B)]⋂[(B⋃A)' ]


=(B⋃A)'⋂(A⋂B)


=(A⋃B)∖(A⋂B)

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7

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10

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Questions · 162
1. Sets
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