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Solution


Q.

For any two sets A and B, if A∩X=B∩X=ϕ and A∪X=B∪X for some set X, then
1 A−B=A∩B  
2 A=B  
3 B−A=A∩B  
4 none of these  

Ans.

(2)

A∩X=B∩X=ϕ

∴  A and X, B and X are disjoint sets.

Also A∪X=B∪X⇒A=B