Browse Questions

Write the converse and contra positive of the statement "I go to the beach whenever it is sunny day."

Toolbox:
• Converse of the statement "If $p$ then $q$." is "If $q$ then $p$."
• Contra positive of the statement "If $p$ then $q$" is " If ~ $q$ then ~ $p$."
The given statement is
"I go to the beach whenever it is sunny day."
This statement can be written as
If it is a sunny day then I go to beach.
Here $p$ : It is a sunny day.
$q$ : I go to beach.
~ $p$ : It is not a sunny day.
~ $q$ : I do not go to beach .
The converse of the given statement is
If $q$ then $p$.
i.e., If I go to beach then it is a sunny day.
The contra positive of the given statement is
If I do not go to beach then it is not a sunny day.
edited Aug 16, 2014