Answer
$(C\cap D)\cup B=\{ 1,2,3,4,6,8 \}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To get the elements of $
(C\cap D)\cup B
,$ get all the common elements of $C$ and $D$. Then, combine these elements with $B.$
$\bf{\text{Solution Details:}}$
The intersection of $C$ and $D,$ given by $C\cap D$, is the set that contains all the common elements of $C$ and $D$.
With $
C=\{1,3,5,7 \}
$ and $
D=\{1,2,3\}
$ then
\begin{array}{l}\require{cancel}
C\cap D=\{ 1,3 \}
.\end{array}
Adding the elements of $B=\{2,4,6,8\}$, then
\begin{array}{l}\require{cancel}
(C\cap D)\cup B=\{ 1,2,3,4,6,8 \}
.\end{array}
