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

Explanation:

Step1: Find the complement of set C

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

Step2: Find the union of $C'$ and A

$(C'\cup A)$ is the region that is either in $C'$ or in A or in both. This includes all of A and the part of the universal set that is outside of C but not in A.

Step3: Find the intersection of $(C'\cup A)$ and B

$(C'\cup A)\cap B$ is the region that is common to both $(C'\cup A)$ and B. So, we shade the part of B that is either in A or outside of C.

Answer:

Shade the part of set B that is either in set A or outside of set C. This includes the part of the intersection of A and B, and the part of B that is outside of C but not in A.