For any two sets A and B, if A∩X=B∩X=ϕ and A∪X=B∪X for some set X, then

For any two sets A and B, if $A \cap X = B \cap X = ϕ$ and $A \cup X = B \cup X$ for some set X, then

A
$A - B = A \cap B$
B
A=B
C
$B - A = A \cap B$
D
None of the above

Solution:

Given , $A \cap X = B \cap X = ϕ$

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

Also $A \cup X = B \cup X \Rightarrow A = B$

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