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

Question

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

Answer 1

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.

Answer 2

so its:

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

Answer 3

Correct.

Answer 4

yay! i get it now :) thanks!

Answer 5

You're welcome!