Choose the correct diagram for each of the following arguments.
-1. Your dog is either a purebred or a mutt, and 2. he certainly is not a purebred. Accordingly, 3. your dog must be a mutt.

Question

Quizplus · Accepted Answer

B represents a valid use of a Venn diagram to illustrate the argument. The argument states that the dog is either a purebred or a mutt, and cannot be both, so these categories are represented by non-overlapping circles. The fact that the dog is not a purebred is represented by shading the circle representing purebreds, and the conclusion that the dog must be a mutt is shown by the remaining unshaded portion of the diagram corresponding to mutts.

Choose the Correct Diagram for Each of the Following Arguments