Exercise # 2.2 Q11 to Q15( Sets Prove)|| Rosen Discrete Mathematics 7th Edition|| M.Owais

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• Exercise # 2.2 Q5 to...
11. 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.
12. Prove the first absorption law from Table 1 by showing
that if A and B are sets, then A ∪ (A ∩ B) = A.
13. Prove the second absorption law from Table 1 by showing
that if A and B are sets, then A ∩ (A ∪ B) = A.
14. Find the sets A and B if A − B = {1, 5, 7, 8}, B − A =
{2, 10}, and A ∩ B = {3, 6, 9}.
15. Prove the second De Morgan law in Table 1 by showing
that if A and B are sets, then A ∪ B = A ∩ B

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