Question

hat is the converse of the following conditional?If Ruth is going to buy Gruyere cheese, then she is not throwing a party.

Answer 1

The converse of the given conditional statement is 'If Ruth is not throwing a party, then she is going to buy Gruyère cheese.'

Step-by-step explanation:

The converse of a conditional statement is created by reversing the hypothesis and the conclusion. The given conditional statement is 'If Ruth is going to buy Gruyère cheese, then she is not throwing a party.' The converse of this statement would be 'If Ruth is not throwing a party, then she is going to buy Gruyère cheese.' It's important to understand that the truth of the converse is not guaranteed by the truth of the original conditional statement.

Answer 2

In order to find the converse of a conditional, we need to interchange the hypothesis and the conclusion of the sentence.

So we have:

Hypothesis: "Ruth is going to buy Gruyere cheese"

Conclusion: "She is not throwing a party"

Interchanging these, we have:

Hypothesis: "She is not throwing a party"

Conclusion: "Ruth is going to buy Gruyere cheese"

So the new conditional is:

"If Ruth is not throwing a party, then she is going to buy Gruyere cheese"