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Question
If x and y are two rational numbers such that x > y, then x – y is always a positive rational number.
Options
True
False
Solution
This statement is True.
Explanation:
If x and y are two rational numbers such that x > y.
Then, there are three possible cases, i.e.
Case I: x and y both are positive.
Case II: x is positive and y is negative.
Case III: x and y both are negative.
In all three cases, x – y is always a positive rational number.
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