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3 Αυγ 2024 · The converse of the conditional statement is “If Q then P.” The contrapositive of the conditional statement is “If not Q then not P.” The inverse of the conditional statement is “If not P then not Q.” We will see how these statements work with an example.
converse: If \(m\) is an odd number, then it is a prime number. inverse: If \(m\) is not a prime number, then it is not an odd number.
Contrapositive and converse are specific separate statements composed from a given statement with “if-then”. Before getting into the contrapositive and converse statements, let us recall what are conditional statements.
28 Νοε 2020 · converse: If a conditional statement is \(p\rightarrow q\) (if \(p\), then \(q\)), then the converse is \(q\rightarrow p\) (if \(q\), then \(p\). Note that the converse of a statement is not true just because the original statement is true. inverse: If a conditional statement is \(p\rightarrow q\), then the inverse is \(\sim p\rightarrow \sim q\).
11 Νοε 2022 · The converse of an implication A ⇒ B A ⇒ B is the implication B ⇒ A B ⇒ A. For example, the converse of “if Tiana pays the cashier a dollar, then the server gives Tiana an ice cream cone” is “if the server gives Tiana an ice cream, then Tiana pays the cashier a dollar.”.
18 Φεβ 2019 · The converse of the statement "IF a THEN b" is "IF b THEN a", turning the statement around so that the conclusion becomes the hypothesis and the hypothesis becomes the conclusion. In this case, the converse is. IF a number N is divisible by 4, THEN the number N is divisible by 2.
Understand the fundamental rules for rewriting or converting a conditional statement into its Converse, Inverse & Contrapositive. Study the truth tables of conditional statement to its converse, inverse and contrapositive.