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The following conditional statement is given: "If it is Friday, then there is no school tomorrow."

Part A: Explain how to change a statement into the converse and write the converse of the given conditional statement.
Part B: Is the converse of the conditional statement valid? Give a counterexample to the converse to dispute the statement. Justify your point of view.

User Jon Glazer
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The converse of a conditional statement switches the antecedent and consequent; for the given statement, the converse is not valid as there can be days without school that are not Fridays.

Converting to the Converse and Evaluating its Validity

The converse of a conditional statement is made by reversing the antecedent and consequent. For the given statement, the converse is, "If there is no school tomorrow, then it is Friday." To test the validity of the converse, we need to find a counterexample where the antecedent is true but the consequent is false.

Counterexamples might include situations such as "If there is no school tomorrow because of a holiday that falls on a Monday, then it is not Friday," which shows that the converse is not always valid.

The converse of the statement is not universally valid as there can be different reasons for there to be no school tomorrow, other than it being Friday.

User Pankaj Lilan
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