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
Correct Answer: Option B
Explanation
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)