Answer :
Final answer:
The converse of the statement 'If it is sunny, then it is 80° Fahrenheit' is 'If it is 80° Fahrenheit, then it is sunny,' which is invalid. A counterexample like a cloudy day with a temperature of 80° Fahrenheit disproves it.
Explanation:
The converse of a conditional statement is formed by reversing the antecedent and the consequent. The original statement is "If it is sunny, then it is 80° Fahrenheit." The converse would be "If it is 80° Fahrenheit, then it is sunny."
However, the validity of the converse is not automatic and must be tested. The converse of this statement is invalid because there can be cases of it being 80° Fahrenheit and not sunny, such as a cloudy day with the same temperature. A counterexample to this converse statement could be: "It is 80° Fahrenheit, but it is cloudy." This counterexample shows that 80° Fahrenheit is not sufficient to guarantee that it is sunny, thus disproving the converse as a valid statement.
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