Question

If A = {letters of word INTEGRITY} and B = {letters of word RECKONING), find
(i) AUB
(ii) An B
(iii) A-B
(iv) B-A.
Also verify that:
(a) n(A union B) = n(A) + n(B) - n(A intersection B)
B) n(A - B) = n(A union B) – n(B) = n(A) – n(A intersection B)
(C) n(B - A) = n(A union B) - n(A) = n(B) – n(A intersection B)
(d) n(A union B) = n(A - B) + n(B - A) + n(A intersection B).​

Answer 1

1. {I,n,t,e,g,r,y,c,k,o,n}
2. {I,n,e,g,r,i}
3. {t,y}
4. {r,c,k,o}

Sorry bro/sis, but I could only do this much. I hope it helps you.

Answer 2

Answer:

i) AUB= I,N,T,E,G,R,I,Y,C,K,O

ii) I,N,E,G,R

iii) A-B= {T,Y}

iv) B-A={ C,K,O}