2. Let A = {4,3,6,7,1,9} and B = {5,6,8,4} have universal set U = {0,1,2,...,10}. Find:
(a) $\overline{A}$
(e) A - $\overline{A}$
(b) $\overline{B}$
(f) $\overline{A}$ - B
(c) A $\cap$ $\overline{A}$
(g) A $\cup$ B
(d) A $\cup$ $\overline{A}$
(h) $\overline{A \cap B}$
3. Shade in the Venn diagrams for the following:
(a) (A - B) $\cap$ C
(b) (A $\cup$ B) - C
U
C
A
B
U
C
A
B
"The examples, section numbers are from Richard Hammack's "Book of Proof".
4. Suppose A? = {a,b,d,e,g,f}, A? = {a,b,c,d}, A? = {b,d,a} and A? = {a,b,h}. Find the
following:
(a) $\bigcup_{i=1}^{4} A_i$
(b) $\bigcap_{i=1}^{4} A_i$
Additional Problems
1. Suppose A = {0,1} and B = {1,2}. Find:
(a) (A Γ B) $\cap$ (B Γ B)
(b) (A Γ B) $\cup$ (B Γ B)
