Given that for sets A and B, in a universal set E, A \(\subseteq\) B then A \(\cap\)(A \(\cap\) B)' is
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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)'Â = A'
A(A \(\cap\) B)'Â = A \(\cap\) A'
The intersection of complement of a set P and P'Â has no element
i.e. n(A \(\cap\) A') = \(\phi\)
A \(\subset\) B means A is contained in B i.e. A is a subset of B(A \(\cap\) B)'Â = A'
A(A \(\cap\) B)'Â = A \(\cap\) A'
The intersection of complement of a set P and P'Â has no element
i.e. n(A \(\cap\) A') = \(\phi\)