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28 lis 2020 · contrapositive: If a conditional statement is \(p\rightarrow q\) (if \(p\) then q), then the contrapositive is \(\sim q\rightarrow \sim p\) (if not q then not p). converse: If a conditional statement is \(p\rightarrow q\) (if \(p\), then \(q\)), then the converse is \(q\rightarrow p\) (if \(q\), then \(p\).
In this video math tutorial we discuss how to write the conditional, converse, inverse, and contrapositive statements. We look at an example and decide whet...
4 mar 2024 · Contrapositive Statement: The contrapositive of a conditional statement is formed by switching the hypothesis and conclusion of the original statement and negating both. Original Statement: If a number is even, then it is divisible by 2.
This video focuses on how to write the contrapositive of a conditional statement. In particular, this video shows students how to flip and negate a condition...
For any logical statement, we can actually write it four di erent ways: The original: if P then Q. The contrapositive: if not Q then not P. The inverse: if not P then not Q. The converse: if Q then P. It turns out that the \original" and the \contrapositive" always have the same truth value as each other.
How to write a contrapositive statement? A contrapositive is formed by both exchanging and negating the hypothesis and the conclusion of a conditional statement. If a conditional statement is p → q (if p then q), then the contrapositive is ∼q → ∼p (if not q then not p). Not-q is always implies not-p.
Finally, if you negate everything and flip p and q (taking the inverse of the converse, if you're fond of wordplay) then you get the contrapositive. Again in symbols, the contrapositive of p → q is the statement not q → not p , or ~ q → ~ p .
