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What is the converse of the statement, If I do not do my homework, then I will not do well on the test? A. If I do my homework, then I will do well on the test. B. If I do not do well on the test, then I did not do my homework. C. If I do well on the test, then I did my homework. D. If the test is similar to the homework, then I will do well.

Therefore, the logical conditional allows implications to be true even when the hypothesis and the conclusion have no logical connection. Example 3: Given: x: Gisele has a math assignment. Y: David owns a car. Problem: Write x y as a sentence. Solution: The conditional x y represents, "If Gisele has a math assignment, then David.

S: I will be your best friend. Problem: Which of the following statements represents, "If you give me twenty dollars, then I will be your best friend"? 3. What is the truth value of r s when the hypothesis is false and the conclusion is true in Example 2? 4. Given: a: x is prime. B: x is odd. Problem: What is the truth value of a b when x 2? 5. What is the truth value of a b when x 9 in Exercise 4? This lesson is by Gisele Glosser. You can find me on Google.