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What is converse inverse and contrapositive?
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
What is the converse of If a number is a whole number then it is an integer?
"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.
Is The inverse is the negation of the converse?
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.
Is the square root of pq irrational where p and q are primes?
Only if p and q are DIFFERENT primes.
In the phrase mind your P and Q what does the p and q stand for?
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.
What is converse inverse and contrapositive?
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
What is is called when a conditional and its converse are true and they are written as a single true statement?
It is an if and only if (often shortened to iff) is usually written as p <=> q. This is also known as Equivalence. If you have a conditional p => q and it's converse q => p we can then connect them with an & we have: p => q & q => p. So, in essence, Equivalence is just a shortened version of p => q & q => p .
If p q and q r then p r. Converse statement B.A syllogism C.Contrapositive statement D.Inverse statement?
Converse: If p r then p q and q rContrapositive: If not p r then not (p q and q r) = If not p r then not p q or not q r Inverse: If not p q and q r then not p r = If not p q or not q r then not p r
What are the different types of statements?
there are 32 types of thesis statements possible
How do you wire Converse implication with logic gates?
An OR with one input inverted will be either "implication" or "converse implication" depending on your point of view. Given an OR with inputs "P" and "Q", You'd invert "P" to get implication. You'd invert "Q" to get converse implication. In prose converse implication would be "P OR NOT Q".
What is the converse of If a number is a whole number then it is an integer?
"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.
Is The inverse is the negation of the converse?
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.
Construct a truth table for p and q if and only if not q?
Construct a truth table for ~q (p q)
Is the square root of pq irrational where p and q are primes?
Only if p and q are DIFFERENT primes.
Are any two prime numbers relatively prime and why?
Yes.Any prime number has only 1 and itself as its factors. So given any two different primes, P and Q, the first has only 1 and P as factors while the second has only 1 and Q as factors.Since P is a prime, Q cannot be a factor of P, and since Q is a prime, P cannot be a factor of Q. Therefore P and Q are co-prime.
In the phrase mind your P and Q what does the p and q stand for?
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.
What is the converse of the contrapositive of a statement?
Look at the statement If 9 is an odd number, then 9 is divisible by 2. The first part is true and second part is false so logically the statement is false. The contrapositive is: If 9 is not divisible by 2, then 9 is not an odd number. The first part is true, the second part is false so the statement is true. Now the converse of the contrapositive If 9 is not an odd number, then 9 is not divisible by two. The first part is false and the second part is true so it is false. The original statement is if p then q,the contrapositive is if not q then not p and the converse of that is if not p then not q
