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Question

Mathematics Question on Sets

If AA and BB are non-empty sets such that ABA \supset B, then

A

BA=ABB ' - A ' = A - B

B

BA=BAB' - A' = B - A

C

AB=ABA' - B' = A - B

D

AB=BAA' \cap B' = B - A

Answer

BA=ABB ' - A ' = A - B

Explanation

Solution

Given that, ABA \supset B

So, by Venn diagram, we conclude that
BA=ABB'-A'=A-B