Posted by **Jen** on Friday, July 29, 2011 at 10:45pm.

Form the converse: If I do not mow the lawn, then the grass grows too tall.

Is it:

If the grass does not grow too tall, then I did not mow the lawn??

- Math -
**MathMate**, Friday, July 29, 2011 at 11:00pm
Here is list of the four possibilities (source: (Broken Link Removed)

* statement: if p then q

* converse: if q then p

* inverse: if not p then not q

* contrapositive: if not q then not p

Your proposition is not one of them.

Let

p=I don't mow the lawn

q=grass grows too tall

The original statement is then

if p then q

The converse: if q then p

i.e. if the grass grows too tall, then I didn't mow the lawn.

You have proposed: if ~q then p

"If the grass does not grow too tall, then I did not mow the lawn" which is not one of the four usual variations.

- Math -
**Jen**, Friday, July 29, 2011 at 11:08pm
so its:

If the grass grows too tall, then I did not mow the lawn??

- Math -
**MathMate**, Friday, July 29, 2011 at 11:11pm
Correct.

- Math -
**Jen**, Friday, July 29, 2011 at 11:15pm
yay! i get it now :) thanks!

- Math :) -
**MathMate**, Friday, July 29, 2011 at 11:22pm
You're welcome!

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