Answer
See below.
Work Step by Step
$(B\cap C)'$ is the set of all numbers that are not both a natural even number and less than $9$ and a number that is both natural and less than $6$ and greater than $1$. Thus $(B\cap C)'$ is the set of numbers in $U$ that are not in $\{2,4\}$Thus $(B\cap C)'=\{1,3,5,6,7,8\}$.