Given that for sets A and B, in a universal set E, A \(\subseteq\) B then A \(\cap\)(A \(\cap\) B)' is
A
A
B
\(\phi\)
C
B
D
E
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
A \(\subset\) B means A is contained in B i.e. A is a subset of B(A \(\cap\) B)' = A'
A(A \(\cap\) B)' = A \(\cap\) A'
The intersection of complement of a set P and P' has no element
i.e. n(A \(\cap\) A') = \(\phi\)
Source: Myschool Past Questions Archive (Record #31000)