Question

the venn diagram shows sets a, b, c, and the universal set u. shade b u (c ∩ a) on the venn diagram.

Explanation:

Step1: Find $C'$

$C'$ is the complement of set $C$, which includes all elements in the universal set $U$ that are not in $C$. So shade the area outside of circle $C$ in the Venn - diagram.

Step2: Find $C'\cap A$

$C'\cap A$ is the intersection of $C'$ and $A$. So shade the part of the shaded $C'$ area that also lies inside circle $A$.

Step3: Find $B\cup(C'\cap A)$

$B\cup(C'\cap A)$ is the union of set $B$ and $C'\cap A$. So shade all of circle $B$ and the previously shaded part of $C'\cap A$.

Answer:

Shade all of circle $B$ and the part of circle $A$ that is outside of circle $C$.