4. Let A and B be sets. Prove the commutative laws from Table 1 by showing that
a) A ∪ B = B ∪ A.
b) A ∩ B = B ∩ A.
a) Let Then or Which implies or
Hence
Thus
Similarly, we can show that
Therefore,
b) Let Then and Which implies and Hence
Thus
Similarly, we can show that
Therefore,
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