Question

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

Explanation:

Step1: Find the complement of set A

$A'$ is the region outside of set $A$ within the universal set $U$.

Step2: Find the intersection of sets C and B

$C\cap B$ is the region that is common to both set $C$ and set $B$.

Step3: Find the union of $A'$ and $(C\cap B)$

Shade the region that is either in $A'$ or in $(C\cap B)$ or in both. This means shading the region outside of $A$ and also the common part of $C$ and $B$.

Answer:

Shade the region outside of circle $A$ and also the overlapping part of circles $C$ and $B$.