Question

If Richard is not going to eat cashews, then it is Monday. Is the second conditional the contrapositive, converse, or inverse of the first conditional? a. contrapositive b. converse c. inverse

Answer 1

The second conditional is the inverse of the first conditional statement. The inverse negates both the hypothesis and the conclusion of the original conditional statement.

Step-by-step explanation:

The conditional statement given is 'If Richard is not going to eat cashews, then it is Monday.' To identify whether the second conditional is the contrapositive, converse, or inverse, we need to understand what each term means:

• The contrapositive of a conditional statement 'If p, then q' is 'If not q, then not p.'
• The converse of a conditional statement 'If p, then q' is 'If q, then p.'
• The inverse of a conditional statement 'If p, then q' is 'If not p, then not q.'

Given that the original statement is 'If Richard is not going to eat cashews, then it is Monday', the contrapositive would be 'If it is not Monday, then Richard is going to eat cashews.' The converse would be 'If it is Monday, then Richard is not going to eat cashews.' The inverse would be 'If Richard is going to eat cashews, then it is not Monday.' Therefore, the correct answer is c. inverse.