Question

If you know p → q is true and you also know q is true, then can you conclude that p is true or that p is false? Explain how the Venn diagram supports your answer.

Answer 1

If you know p → q is true and you also know q is true, you can conclude that p is true.

Step-by-step explanation:

If you know p → q is true and you also know q is true, you can conclude that p is true. This is because if a conditional statement is true and its consequent is true, then its antecedent must also be true. In this case, p is the antecedent of the conditional statement p → q. The Venn diagram supports this conclusion by showing that the set of elements in p is contained within the set of elements in q.