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Math

posted by on .

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 - ,

    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 - ,

    so its:

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

  • Math - ,

    Correct.

  • Math - ,

    yay! i get it now :) thanks!

  • Math :) - ,

    You're welcome!

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