Answer
$\{a, c, d, e, f, g, h\}$
Work Step by Step
We are given:
$U = \{a, b, c, d, e, f, g, h\}$
$A = \{a, g, h\}$
$B = \{b, g, h\}$
$C = \{b, c, d, e, f\}$
We need to determine $(A\cap B)\cup B'$
The intersection of sets $A$ and $B$ ($A\cap B$) is a set containing every element of $A$ that is also an element of $B$.
$A\cap B=\{g, h\}$
The complement of $B$ ($B'$) is a set that contains every elements of $U$ that isn't contained in $B$.
$B'=\{a, c, d, e, f\}$
Finally, $\cup$ indicates that the resulting set should have all distinct elements that are present in either of the 2 sets.
$(A\cap B)\cup B'=\{g, h\}\cup\{a, c, d, e, f\}=\{a, c, d, e, f, g, h\}$
