The contrapositive of a conditional statement switches the hypothesis and conclusion of the original statement and negates both parts.
In this case:
- Original statement: If Arianna is shopping for celery, then she is at a farmers' market.
- Contrapositive: If Arianna is not at a farmers' market, then she is not shopping for celery.
This is because in the contrapositive, we flip the original statement and negate both parts. So, if the original statement is true, the contrapositive is also true. It helps to identify logical relationships between statements.
