(1) A family becomes literate if the women in it are literate. Next: Contrapositive Example with Sets. The Converse, Inverse and Contrapositive. The following contrapositive statement is logically equivalent to the original if-then statement: "If I do not help you with your homework, then you will not do the dishes." Now you can easily find the converse, inverse, and contrapositive of any conditional statement you are given! contrapositive. Converse and Contrapositive Subjects to be Learned. EXAMPLES Direct statement: If you drink Pepsi, then you are happy. State the converse, contrapositive, and inverse of each of these conditional statements. * The converse … You are probably familiar with at least a little Canadian geography, and know that British Columbia (BC) is a geographical area within Canada. The inverse is "If a polygon is not a quadrilateral, then it does not have four sides." This packet will cover "if-then" statements, p and q notation, and conditional statements including contrapositive, inverse, converse, and biconditional. Hope you enjoyed learning! Converse, Inverse, and Contrapositive of a Conditional Statement What we want to achieve in this lesson is to be familiar with the fundamental rules on how to convert or rewrite a conditional statement into its converse, inverse, and contrapositive. This Buzzle article explains how to write one, along with some examples of converse statements. The conditional statement Q →P is called the converse of the implication P →Q 2. Start studying Converse, Inverse, Contrapositive. Let p be the statement ''I'm sick'' and qbe the statement ''I go and see a doctor''.The p qmeans ''If I'm sick, then I go and see a doctor''. The Contrapositive Okay, enough with the warm-up, now it's time to get really weird. 16) If today is Monday, then it is not the weekend. I will be in the talent show only if I can do the same comedy routine I … Justifying each question with examples. 1) p → q 2) t → ~ w 3) ~ m → p 4) ~ p → ~ q. Examples Example 1. The contrapositive of a statement is sort of a combination of the converse and the inverse. I come to class whenever there is going to be a quiz. Try these examples out: In 1 – 4, write the inverse of the statement in symbolic form. EXAMPLE 2.2.3 Symbolize this statement, taken from the instructions for IRS From 1040, line 10: In 5 – 8, write the converse of the statement in symbolic form. Suppose a conditional statement of the form "If p then q" is given.

(2) If it rains, then the match will be cancelled. This picture shows the relationship between a conditional and its inverse, converse, and contrapositive. of p →q. Contrapositive: If you aren't happy, then you don't drink Pepsi. Inverse: If you don't drink Pepsi, then you aren't happy. See also. Converse: If you are a musician, then you are a guitar player. Mathematical Excursions (MindTap Course List) Write the a. converse, b. inverse, and c. contrapositive of the given statement. Fancy. So we can also write the inverse of p → q as ~p → ~q. Use the statement: Any two points are collinear. Contents. Let us look at an example:- “If He Passes In The Test, His Mother Will Buy Him A New Game. Choose from 124 different sets of converse contrapositive flashcards on Quizlet. 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