## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

$\{0,5,9\}$
$\overline{B}$ = set of elements that are in the universal set, but not in B 0 is not in B, so it is in $\overline{B}$, 1 is not in B, so it is in $\overline{B}$, 2 is in B so it is not in $\overline{B}$, 3 is not in B, so it is in $\overline{B}$, and so on, testing each element of U Hence, $\overline{B}$ = $\{0,1,3,5,9\},\quad$ $\overline{C}$ = set of elements that are in the universal set, but not in C $\overline{C}$ = $\{0,2,5,7,8,9\}$ $\overline{B}\cap\overline{C}$ is the set of elements that are in both $\overline{B}$ and $\overline{C}$ . Thus, $\overline{B}\cap\overline{C}$ = $\{0,5,9\}$