What Is the Inverse of the following If it rains then I take

What Is the Inverse of the following: \"If it rains then I take an umbrella.\" If I take an umbrella then It rains. If It rains then I take an umbrella. If It doesn\'t rain then I don\'t take an umbrella. If I don\'t take an umbrella then it doesn\'t rain. If it doesn\'t rain then I take an umbrella. If I take an umbrella then it doesn\'t rains. What is the contrapositive of the following: \"If P is a square then P is a rectangle.\" If P is a rectangle then P is not a square. If P is not a square then P is not a rectangle. If P is a square then P is not a rectangle. If P is a rectangle then P is a square. If P is not a rectangle then P is not a square, If P is a square then P is a rectangle.

Solution

To find the inverse of \" If it rains then I take an umbrella\".

this is the conditional statement of type \"If A then B\".

then inverse(If not A then not B) of the given statement is \"If it doesn\'t rain then I don\'t take an umbrella\".

so the correct answer is C.

Now to find the contrapostive of \"If P is a square then P is a rectangle\"

contrapositive(if not B then not A) of the given statement is \"If P is not a rectangle then P is not a square\".

so the correct answer is E.