#$1$

Let U $=\{1,2,...,10\}$ be the universal set, and let

$$ A $=\{1,2,3,5,7\}$

$$ B $=\{3,5,6,7,8\}$

$$ C $=\{1,3,5,7\}$

Find:

a$)$ A B$\backslash$cup

b$)$ A $\backslash$cap B

c$)$ A C$\backslash$cup

d$)$ A $\backslash$cap C

e$)$ AC

f$)$ BC

#$2.$

$($Consider ten customers leaving a bookstore. The clerk in the bookstore says that they

sold a total of three Perl programming books and four C programming books to these ten customers.

You are also told that five of the ten people didn$$t buy anything and no one person purchased multiple

copies of a single text, but some may have purchased one of each. You must show your work to

receive full credit.

a$)$ How many people purchased at least one book?

b$)$ How many people purchased both a Perl book and a C book?

c$)$ How many people purchased only a Perl programming book?