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Question

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


A
A
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B
B
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C
ϕ
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D
none of these
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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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