Question

4. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). A = {2, 4, 6, 7).
B = (1, 3, 7, 4, 9). Evaluate (i) A-B (ii) B-A
(iii) A' intersection (B U A) (iv) (A n B)' (v) (A U B)'. Also verify De Morgan's Law.​

Answer 1

Answer:

Step-by-step explanation:

(i) A-B={2,6]

(ii) B-A={1,3,9}

(iii) BUA= {1,2,3,4,6,7,9}

A'=U-A={1,3,5,8,9,10}

A'∩(BUA)={1,3,9}

(iv) A∩B={4,7}

(A∩B)'=U-(A∩B)={1,2,3,5,6,8,9,10}

(v) AUB= {1,2,3,4,6,7,9}

(AUB)'=U-(AUB)={5,8,10}

De Morgan's Law:

(AUB)'=A'∩B'

(A∩B)'=A'UB'