What is the difference between the union of two sets and the intersection of two sets. Give an example of each
A union of two sets is a set that contains all the elements of the two sets.
$\displaystyle A=\{ \mbox{ all men } \}$
$\displaystyle B=\{ \mbox{ all women} \}$
Then,
$\displaystyle A\cup B=\{ \mbox{ all people (except TPH for he is not human) } \} $
The intersection of two sets is a set that contains all elements that are in both sets.
$\displaystyle A=\{ \mbox{ all people with hair } \}$
$\displaystyle B= \{ \mbox{ all people with eyes} \}$
Then,
$\displaystyle A\cap B=\{ \mbox{all people that have hair and eyes} \}$