SOLUTION: Write the converse, inverse, and contrapositive.
Read the following conditional statement: If it is raining, then Amelia has her umbrella up. Write the converse of the statement. Write the inverse of the statement. Write the contrapositive of the statement. Here, we have our statement: “If it is raining, then Amelia has her umbrella up.” This is an if-then statement. If it is raining.
The logical converse and inverse of the same conditional statement are logically equivalent to each other. The Contrapositive Okay, enough with the warm-up, now it's time to get really weird.
Example 3: Examining the relationship between the converse and inverse of a conditional statement (p. 212) Arizona is studying the colour wheel in art class. She observes the following: “If a colour is red, yellow, or blue, then it is a primary colour.” a) Write the converse of this statement. b) Write the inverse of this statement.
For each of the following, rewrite the original conditional statement in if-then form if necessary. Then, write the converse, inverse, and contrapositive of each. Finally, determine the truth value of each and provide a counterexample for each false statement. 1. If you are a quarterback, then you play football T or F Converse: T or F Inverse: T or F Contrapositive: T or F 2. The sum of two.
Converse, Inverse, and Contrapositive Learning Targets: the truth value of the converse, inverse, and contrapositive of a conditional statement. rite and nter re iconditional statements. Vocabulary Organizer, SUGGESTED LEARNING STRATEGIES: Interactive Word Wall, Think-Pair-Share, Group Presentation, Discussion Groups Every conditional statement has three related conditionals. These are the.
Write the (a) inverse, (b) converse, and (c) contrapositive of the statement. If there is snow on the ground, then flowers are not in bloom. When two statements are both true or both false, they are called equivalent statements. A conditional statement is equivalent to its contrapositive. Similarly, the inverse and converse of any conditional.
Got It? 4. What are the converse, inverse, and contrapositive of the conditional statement below? What are the truth values of each? If a statement is false, give a counterexample. If a vegetable is a carrot, then it contains beta carotene. Below are the truth values of the related statements above. Equivalent statements have the same truth.