ID: 339

Verify the correctness of the given statement. "For all integers j and k, if j and k are odd, then jk is odd."

Aligned LLM's Response:

Thank you for asking ! The statement you provided is actually false . \n The statement " For all integers j and k , if j and k are odd , then j k is odd " is not true . \n To see why , consider the following counter example : \n Let j = 3 and k = 5 . Both j and k are odd , but j k = 1 5 is even . \n So , the statement is not univers ally true , and it is important to be careful when making claims about the properties of integers . \n I hope this helps clarify things ! Let me know if you have any other questions . </s>

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