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Q. If $A$ and $B$ are two sets, then
$(A -B ) \cup (B - A ) \cup (A \cap B)$ is equal to

Sets

Solution:

$(A - B) \cup (B - A) \cup (A \cap B)$
$=$ only $A\, \cup$ only $B\, \cup$ Both $A$ and $B = A \cup B$