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Question about and/or statements and their contrapositives.

If a statement said the following:

To graduate from HLS you must be both smart and resourceful.

Therefore, the contrapositive of the statement would be:

If you are not smart or not resourceful then you will not graduate from HLS.

Can someone explain the and --> or part? I am getting a little confused ( thinking too much about the or), what if someone is smart but not resourceful, can they not graduated then?

Any explanation/examples would be appreciated.

Well simply stated, you require both, so if you don't have one OR the other, than its no good.

As an exercise, break the statement into two parts, and things may become clearer:

If graduate -> smart

If graduate -> resourceful


Contrapositives:

If not smart -> not graduate

If not resourceful -> not graduate


Graduating requires both, so...if you lack one, the other, or both, then you cannot graduate.