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1.If A={2,3,4,5},B={2,4,6,8},C={3,4,5,6}and the Universal set X ={0,1,2,...,10}.
(a) Find i. A∩ B ii. (A∩ B)'
iv. A∩(B−C) v. (X −C)'∩(A−B)
(b) Using the same sets given above, confirm
i. The Associate laws:
(A∩B)∩C = A∩(B∩C) and
(A∪B)∪C = A∪(B∪C)
ii. The Distributive laws:
A∪(B∩C)=(A∪B)∩(A∪C) and A ∩ (B ∪ C) = ( A ∩ B) ∪ ( A ∩ C)
iii. The De Morgan’s laws: (A∪B)'=A'∩B' and
(a) Find i. A∩ B ii. (A∩ B)'
iv. A∩(B−C) v. (X −C)'∩(A−B)
(b) Using the same sets given above, confirm
i. The Associate laws:
(A∩B)∩C = A∩(B∩C) and
(A∪B)∪C = A∪(B∪C)
ii. The Distributive laws:
A∪(B∩C)=(A∪B)∩(A∪C) and A ∩ (B ∪ C) = ( A ∩ B) ∪ ( A ∩ C)
iii. The De Morgan’s laws: (A∪B)'=A'∩B' and