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??
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.
so its:
If the grass grows too tall, then I did not mow the lawn??
Correct.
yay! i get it now :) thanks!
You're welcome!
To form the converse of the given statement, you need to switch the positions of the "if" and "then" parts of the statement.
The original statement is: "If I do not mow the lawn, then the grass grows too tall."
To form the converse, you'll swap the parts: "If the grass grows too tall, then I do not mow the lawn."
So, the converse of the original statement is: "If the grass grows too tall, then I did not mow the lawn."