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decide if the converse is true for the following true conditional statement: " if tomorrow is monday, then today is a weekday. "if it is true, choose a valid biconditional statement.

Respuesta :

Given a conditional statement

[tex]p\implies q[/tex]

the converse statement is obtained by swapping hypothesis and conclusion:

[tex]q\implies p[/tex]

So, the converse statement of "if tomorrow is monday, then today is a weekday." is "if today is a weekday, then tomorrow is monday."

This statement is false: the counterexample is if today is Saturday: it's a weekday, but tomorrow is not Monday.

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