Find out the unequal pairs of sets, if any, among the following sets.<br>i) $$(A - B) \cup (B - A)$$ ii) $$(A \cup B) - (A \cap B)$$ iii) $$(A \cup B) \cap (A \cap B)'$$<br>iv) $$(A \cap B') \cup (B \cap A')$$ v) $$(A \cup B) \cap (A' \cup B')$$

PLACEHOLDER ANSWER - the answer is "none". Each set is the symmetric difference, the elements in exactly one of $$A$$ and $$B$$. Since $$A - B = A \cap B'$$, $$B - A = B \cap A'$$, removing $$A \cap B$$ from $$A \cup B$$ is intersecting with $$(A \cap B)'$$, and $$A' \cup B' = (A \cap B)'$$, all five sets are equal. So there are no unequal pairs.