Use a Venn diagram to evaluate the following argument: "No penguins can fly. Penguins are birds. Therefore, some birds cannot fly." This argument is _____.
A) valid and has true premises
B) invalid but has true premises and a true conclusion
C) invalid and has at least one false premise
D) None of the answers are correct
E) valid but has false premises

Question

Quizplus · Accepted Answer

The argument is valid because the conclusion logically follows from the premises. The premises that no penguins can fly and that penguins are birds lead to the valid conclusion that some birds cannot fly. This is represented in a Venn diagram by the subset of penguins (which cannot fly) within the set of birds, indicating that there is at least one bird (a penguin) that cannot fly.

Use a Venn Diagram to Evaluate the Following Argument: "No