Question: If A, B and C are defined as in Question 2, and the universal set is the set of all integers less than or equal

If A, B and C are defined as in Question 2, and the universal set is the set of all integers less than or equal to 20, find the following sets:

(a) A (c) AUB (b) AUB (d) AN (BUC)

Verify the De Morgan laws for A and B.

Data from Question 2

Let

A = {n EN n 11} B = {n EN, n is even and n < 20} C = {10, 11, 12, 13, 14, 15, 17, 20}

Write down the sets

(a) A ∩ B

(b) A ∩ B ∩ C

(c) A ∪ (B ∩ C)

and verify that (A ∪ B) ∩ (A ∪ C) = A ∪ (B ∩ C).

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