What Is The Converse Of A Conditional Statement

In this lesson we ll learn the truth about the converse of statements.

Just because a conditional statement is true is the converse of the statement always going to be true. The converse of if it rains then they cancel school is if they cancel school then it rains. For example the converse of if it is raining then the grass is wet is if the grass is wet then it is raining note. In the lesson about conditional statement we said that the symbol that we use to represent a conditional is p q.

That statement is true. So for instance the converse of if x is even then x 2 is even is if x 2 is even then x is even assuming x z. Converse statements are a type of conditional statements. The converse of a true conditional statement does not automatically produce another true statement.

But the converse of that is nonsense. In this buzzle write up we discuss the meaning of a converse statement how it is written and some examples. Therefore the converse is the implication color red q to color blue p. The converse of the conditional statement is if the sidewalk is wet then it rained last night the contrapositive of the conditional statement is if the sidewalk is not wet then it did not rain last night the inverse of the conditional statement is if it did not rain last night then the sidewalk is not wet.

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Begins with if and comes first. Note that the converse isn t necessarily logically equivalent to the original statement the example above is an exception. Understanding or writing a converse theorem is not very difficult. Again to find the converse of this conditional statement just switch the hypothesis and the conclusion.

Converse of a conditional statement. As in the example a proposition may be true but have a false converse. The conclusion of a conditional statement. If you can drive a car by yourself then you have a driver license.

Answered january 23 2017 the converse of the statement p q is the statement q p. Begins with then and comes first. It rains is the hypothesis. Converse switching the hypothesis and conclusion of a conditional statement.

Begins with then and comes second. The converse of a conditional statement. The converse of this conditional statement is. To form the converse of the conditional statement interchange the hypothesis and the conclusion.

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It might create a true statement or it could create nonsense. A very important type of statement the converse statement is mostly used in geometrical theorems. The hypothesis is shown in blue and the conclusion is shown in red.