Question 74
For rational numbers x and y, if x < y, then x - y is a positive rational number.

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Solution

False
For rational numbers x and y
If x < y, then x - y is a negative rational number
e.g. Let $x = \frac{1}{3}, y = \frac{1}{2}$ are two rational numbers.
Then, according to equation,
$x - y = \frac{1}{3} - \frac{1}{2} = \frac{2 - 3}{6} = \frac{- 1}{6}$

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