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Question

Write the component statements of the statement. Also, check whether the statement is correct or not.
'If x and y are integers, then xy is a rational number.

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Solution

The component statements are
p : x and y are integers.
q : xy is a rational number.
Since, the product of two integers is an integer and therefore, it is a rational number. So, the compound statement is true. Hence, this is statement.

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