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Linda's medicine bottlesays "If you will be driving, then youshould not take this medicine." What arethe inverse, converse, and thecontrapositive of this statement?

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For two statements p and q, and the compounded statement "If p, then q", we have the following definitions for the inverse, converse, and contrapositive of this compounded statement:

inverse: If not p, then not q.

converse: If q, then p.

contrapositive: If not q, then not p.

So, for the presented statement, i. e., "If you will be driving, then you should not take this medicine" we have:

p: you will be driving

q: you should not take this medicine

Notice that:

not p: you will not be driving

not q: you may take this medicine

Then, using the above definitions, we write:

inverse: If you will not be driving, then you may take this medicine.

converse: If you should not take this medicine, then you will drive.

contrapositive: If you may take this medicine, then you will not be driving.

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