Question

Consider the two propositions given below:

A = You use ecofriendly methods.

B = Pollution is reduced.

If A implies to B, then write its Contrapositive statement.

Answer 1

If pollution is not reduced, then you do not use eco-friendly methods.

In mathematical logic, the contrapositive of a conditional statement (If A, then B) is formed by:

Negating both propositions (adding “not”).

Swapping their order.

Original (A ⇒ B): if you use eco-friendly methods, then pollution is reduced. 

Contrapositive (¬B ⇒¬A): If pollution is not reduced, then you do not use eco-friendly methods.

A statement and its contrapositive are logically equivalent, meaning if the original claim is true, the contrapositive must also be true.