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Question
The statement “If x2 is not even, then x is not even” is converse of the statement ______.
Options
If x2 is odd, then x is even
If x is not even, then x2 is not even
If x is even, then x2 is even
If x is odd, then x2 is even
Solution
The statement “If x2 is not even, then x is not even” is converse of the statement if x is not even, then x2 is not even.
Explanation:
Let p: x2 is not even.
q: x is not even.
So, the converse of the statement p → q is q → p
i.e., If x is not even, then x2 is not even.
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