What Is the Inverse of the following: \"If it rains then I take an umbrella.\" I

Question

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.

Explanation / Answer

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.

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