Question

Q1 Ifs [0, 1,2,3, 4, 5,6,7,8,9) and A f0,2,4,6,8, B - (1,3,5,7,9), C (2,3,4,5), and D 11,6,7), list the elements of the sets corresponding to the following events: (a) A U C, (b) AnB; (d) (C' n D)UB (e) (s n cy'; (f) AnCn D.

Answer 1

(a) AUC={0,1,2,3,4,5,6,7,8,9}=S

(b) A$\interse\bigcap$B={6}

(c) C'={0,1,6,7,8,9}

(d)C'$\interse\bigcap$D={1,6,7}=D, (C'$\interse\bigcap$D)UB={1,3,5,6,7,9}

(e) (S$\interse\bigcap$C)'=C'={0,1,6,7,8,9}

(f)  A$\interse\bigcap$C={2,4}, D'={0,2,3,4,5,8,9}, A$\interse\bigcap$C $\interse\bigcap$D' ={2,4}