Question

1

Contrapositive: If it is raining outside, then Patty will not go to the store.
Given the contrapositive, what is the original statement?

Answer 1

The original statement is "If Patty goes to the store, then it will be no rain outside".

Step-by-step explanation:

• Switching the main reason and the conclusion of a conditional statement and interchanging both terms is termed as Contrapositive. Contraposition refers to the inference of going from a conditional statement into its equivalent logic.
• Here the hypothesis is "it is raining outside" and the conclusion is " Patty will go to the store". When these terms are switched, it gives the contrapositive.
• The conditional statement is "If ~q then ~p". then, the representation of contrapositive of p and q is ~q ~p.