q only if p. The converse of a statement is just swapping the places of the two terms.
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if the statement is : if p then q converse: if q then p inverse: if not p then not q contrapositive: if not q then not
"If a number is an integer, then it is a whole number." In math terms, the converse of p-->q is q-->p. Note that although the statement in the problem is true, the converse that I just stated is not necessarily true.
No, the inverse is not the negation of the converse. Actually, that is contrapositive you are referring to. The inverse is the negation of the conditional statement. For instance:P → Q~P → ~Q where ~ is the negation symbol of the sentence symbols.
Only if p and q are DIFFERENT primes.
Barkeepers used to keep track of what a drinker consumed by pints and quarts thus the p and q. Mind your p's and q's simply meant drink only what you paid for.