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.
And/Or contrapositive Forum
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TheTopBloke
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Re: And/Or contrapositive
Well simply stated, you require both, so if you don't have one OR the other, than its no good.
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LSAT Blog
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Re: And/Or contrapositive
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.
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.
