Given statement is - If you study well then you will pass the exam. If you study well then you will pass the exam. Write the converse, inverse, and contrapositive statement for the following conditional statement. The inverse statement given is "If there is no accomodation in the hotel, then we are not going on a vacation."Ĭonditional statment is "If there is accomodation in the hotel, then we will go on a vacation." (If p then q)Ĭontrapositive statement is "If we are not going on a vacation, then there is no accomodation in the hotel." (If not q then not p) If there is no accomodation in the hotel, then we are not going on a vacation. Inverse statement is "If you do not win the race then you will not get a prize." (If not p, then not q)Ĭontrapositive statement is "If you did not get a prize then you did not win the race ." (if not q then not p)įrom the given inverse statement, write down its conditional and contrapositive statements. Either way, the truth of the converse is generally. For the categorical proposition All S are P, the converse is All P are S. For the implication P Q, the converse is Q P. Here 'p' is the hypothesis and 'q' is the conclusion.Ĭonverse statement is "If you get a prize then you won the race." (If q then p) Converse (logic) In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements. The conditional statement given is "If you win the race then you will get a prize." If you win the race then you will get a prize.
Write the converse, inverse, and contrapositive statement of the following conditional statement. Contrapositive of a conditional statement In Geometry the conditional statement is. If Emily's dad does not have time, then he does not watch a movie. Definition: The converse of a conditional statement is created when the hypothesis and conclusion are reversed. if \(\begin\)Įmily's dad watches a movie if he has time. Let us understand the terms "hypothesis" and "conclusion."Ī statement which is of the form of "if p then q" is a conditional statement, where 'p' is called hypothesis and 'q' is called the conclusion.Ī converse statement is gotten by exchanging the positions of 'p' and 'q' in the given condition.
A statement obtained by reversing the hypothesis and conclusion of a conditional statement is called a converse statement.
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