Answered

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Question 1 (Essay Worth 10 points)

A. Explain how to change a statement into the converse and write the converse of the given conditional statement: "If it is Friday, then there is no school tomorrow." (5 points)

B. Is the converse of the conditional statement true or false? Explain your answer. If the converse is false, give a counterexample. (5 points)

Question 2 (Essay Worth 10 points)

Sagot :

GinnyAnswer

Final answer:

The relationship between a conditional statement and its converse explained with examples.


Explanation:

Converse: In logic, the converse of a conditional statement switches the hypothesis and conclusion. For the given statement 'If it is Friday, then there is no school tomorrow,' the converse would be 'If there is no school tomorrow, then it is Friday.'

Verification of Converse: The converse of the conditional statement may or may not be true. In this case, the converse ('If there is no school tomorrow, then it is Friday') is false because the original statement being on Friday does not guarantee the absence of school on the following day.

Counterexample: To illustrate the falsity of the converse, consider a scenario where it is a Saturday, and there is no school, which contradicts the given statement's converse.


Learn more about Conditional Statements here:

https://brainly.com/question/41672953


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