Question

Determine the region of the diagram that contains electrical projects and roofing projects with a budget greater than $275,000. Describe the region using sets A, B, and C with set operations.Choose the correct answer below.

Answer 1

Given data:

A: Electricla projects

B: roofing projects

C: butget greater than $275,000

Venn diagram: B

b) The region that contains electrical projects and roofing projects with a budget greater than $275,000 is the region of intersection of sets A, B and C:

Region V, in this region all groups intersect (Elements that are in A and B and C)

Answer: D
`A\cap B\cap C`

c) The region that contains the roofing projects with budget greater than $275,000 (Intersection of sets B and C) that are not electrical projects (A complement or A' is the set of elements that are not in A) is:

Region VI

`A^(\prime)\cap B\cap C`

Answer: G