## Determining that conditional and contrapositive are.

The contrapositive of the statement “if p, then q ” is the equivalent statement “if not q, then not p.” Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

The converse and the inverse of a conditional statement are logically equivalent to each other. Your example: Write down a conditional statement and its contrapositive, converse, and inverse. If p and q are statements, p only if q means ”if not q then not p,” or equivalently, ”if p then q.”.

Use the De Morgan law that states: -(p Aq) is equivalent to - p V-9 to write an equivalent English statement for the statement. 26) It is not true that condors and rabbits are both birds. A) condors are birds or rabbits are birds. B) rabbits are not birds, but condors are. C) condors are not birds or rabbits are not birds. D) Neither condors nor rabbits are birds.

The logical contrapositive and the conditional statement are logically equivalent. They both contain the same logical content and truth value. If one is true, then the other absolutely must be.

If we now swap the order of these in the original statement, we get the following: If it's not time to get your clock fixed, then your clock did not strike 13. It turns out that a conditional statement and its contrapositive are equivalent statements. In other words, if a statement is true, its contrapositive is also true, and if a conditional.

Contrapositive definition is - a proposition or theorem formed by contradicting both the subject and predicate or both the hypothesis and conclusion of a given proposition or theorem and interchanging them. How to use contrapositive in a sentence.

As we begin the process of writing the proof of the theorem, we first want to write down any information that will be useful. Such things would include: Such things would include: The theorem and any lemma in terms of symbolic logic.