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What is the converse of the following conditional statement?

"If it is sunny, then it is 80° Fahrenheit."

Determine the validity of the converse and give a counterexample if the converse is not valid.

If it is sunny, then it is 80° Fahrenheit. The converse is valid.
If it is 80° Fahrenheit, then it is sunny. The converse is valid.
If it is not sunny, then it is not 80° Fahrenheit. The converse is invalid; a counterexample is a day that is not 80° Fahrenheit and not sunny.
If it is 80° Fahrenheit, then it is sunny; The converse is invalid; a counterexample is a day that is 80° and cloudy.

Sagot :

The converse of the conditional statement "If it is sunny, then it is 80° Fahrenheit." is "If it is 80° Fahrenheit, then it is sunny".

Given the conditional statement "If it is sunny, then it is 80° Fahrenheit."

and asked for the converse statement if it exists

converse:

A statement's converse is formed by switching the hypothesis and conclusion. "If two lines do not intersect, they are parallel," is the converse of "If two lines intersect, they are parallel." "If p, then q" is the converse of "if q, then p."

Therefore, the converse of conditional statement is  "If it is sunny, then it is 80° Fahrenheit."

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