State the converse and contrapositive of the following statement:
$q:$ $I$ go to a beach whenever it is a sunny day.
$q:$ $I$ go to a beach whenever it is a sunny day.
(N/A) The given statement can be written in the form $p \implies q$ as: If it is a sunny day,then $I$ go to a beach.
The converse of the statement $p \implies q$ is $q \implies p$:
If $I$ go to a beach,then it is a sunny day.
The contrapositive of the statement $p \implies q$ is $\sim q \implies \sim p$:
If $I$ do not go to a beach,then it is not a sunny day.
The converse of the statement $p \implies q$ is $q \implies p$:
If $I$ go to a beach,then it is a sunny day.
The contrapositive of the statement $p \implies q$ is $\sim q \implies \sim p$:
If $I$ do not go to a beach,then it is not a sunny day.
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