Question

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

Explanation:

Step1: Analyze the complement of C

C' represents all elements not in C. So, shade the area outside the circle C.

Step2: Analyze A' ∪ B

A' is all elements not in A and B is the set B. A' ∪ B is the combination of elements in A' and B. Shade the area outside A and the area of B.

Step3: Find the intersection

C' ∩ (A' ∪ B) is the overlapping shaded - area from Step1 and Step2. Shade the region that is both outside C and either outside A or in B.

Answer:

Shade the region that is outside the circle C and is either outside the circle A or inside the circle B.