Question

A Venn Diagram comparing swimmers and weightlifters is shown below: an image of a Venn diagram is shown labeled swamp and rainforest. The label in the swimmers portion is B. The label in the intersection of the two circles is A. The label in the weightlifters portion is C. The label outside the circles is D. Which area represents elements contained in the sample space that are not contained in swimmers or weightlifters?

Answer 1

Answer:

Area D is the space that does not contain swimmers or wheightlifters.

Answer 2

Your Universe is D, set B ={swimmers}, set C = {weightlifters}.

First, you are looking for what is either swimmers or weightlifters and that is given by the union of sets B and C: B∪C

Then, you have to look for everything that is not swimmers or weightlifters, and that is the complement of the previous set: ¬(B∪C)
An other notation could be everything that is in the Universe which is not a swimmer or a weightlifter: D - (B∪C)

The area will be therefore the one outside the circles.