Question

# If $$A$$ and $$B$$ are two sets, then $$A\cap \left ( B\cup A \right )^{c}$$ equals

A
A
B
B
C
ϕ
D
none of these

Solution

## The correct option is C $$\phi$$$$A\cap (B \cup A )^c$$$$=A\cap(B^c \cap A^c)$$$$=(A \cap B^c) \cap (A \cap A^c)$$$$=(A \cap B^c) \cap \phi$$$$=\phi$$Mathematics

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