which statement is a counterexample for the following conditional? If you live in springfield, then you live in illinois.

A.) Erin Naismith lives in Springfield, Massachusetts.

B.) Billy Jones lives in Chicago, illinois.

C.) Sara Lucas lives in springfield.

D.) Jonah Lincoln lives in Springfield, illinois

Respuesta :

the answer is A.) erin naismith lives in springfield, Massachusetts

Counter example means any example that is the opposite or contradicts the given theory.

Here, it is given that if any person lives in Springfield, then he lives in Illinois.

All options except A are true. Chicago is in Illinois and other two options are also correct. They state the true example.

Only example A.) Erin Naismith lives in Springfield, Massachusetts contradicts as Springfield is not in Massachusetts.

Hence, option A is your answer.