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

#discretemathematics #rosendiscretemaths #ex2 #maths #education    • Exercise # 2.2   Q5 to Q10 ( Set Laws )|| ...   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