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28 lis 2020 · inverse: If a conditional statement is \(p\rightarrow q\), then the inverse is \(\sim p\rightarrow \sim q\). Logically Equivalent: A statement is logically equivalent if the "if-then" statement and the contrapositive statement are both true. premise: A premise is a starting statement that you use to make logical conclusions.
Finding the Converse, Inverse, and Contrapositivive . 1. Use the statement: If n > 2, then n 2 > 4. a) Find the converse, inverse, and contrapositive. b) Determine if the statements from part a are true or false. If they are false, find a counterexample. The original statement is true.
The inverse of this statement will be :p ! :q, so it will be: If a number is not divisible by 4, then it is not divisible by 2. The contrapositive of this statement will be :q ! :p,so it will be:
Inverse is a statement formed by negating the hypothesis and conclusion of the original conditional. Symbolically, the inverse is written as (~p ⇒ ~q) Example : Right angle is defined as- an angle whose measure is 90 degrees.
This geometry video tutorial explains how to write the converse, inverse, and contrapositive of a conditional statement - if p, then q.
Discover more at www.ck12.org: http://www.ck12.org/geometry/Converse-Inverse-and-Contrapositive/.Here you'll learn how to find the converse, inverse and cont...
The inverse of the conditional \(p \rightarrow q\) is \(\neg p \rightarrow \neg q\text{.}\) The contrapositive of this new conditional is \(\neg \neg q \rightarrow \neg \neg p\text{,}\) which is equivalent to \(q \rightarrow p\) by double negation.
