# Contrapositive

#### aburchett

##### New member
Form the contrapositive: If I do not mow the lawn, the grass grows too tall.
If the grass grows too tall, then I did not mow the lawn.
If I mow the lawn, then the grass does not grow too tall.
If the grass does not grow too tall, then I mowed the lawn.
If the grass does not grow too tall, then I did not mow the lawn.
If the grass grows too tall, then I mowed the lawn.

I know that contrapositive means the opposite, so I would think that the opposite is, "If the grass does not grow too tall, then I mowed the lawn." , but these always confuse me, is this correct?

#### pka

##### Elite Member
aburchett said:
Form the contrapositive: If I do not mow the lawn, the grass grows too tall.
I know that contrapositive means the opposite, so I would think that the opposite is, "If the grass does not grow too tall, then I mowed the lawn." , is this correct?
Yes that is the contrapositive of the statement in bold above.