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Contrapositive

aburchett

New member
Joined
Jan 19, 2011
Messages
48
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
Joined
Jan 29, 2005
Messages
7,688
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.
 
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