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Question
For rational numbers x and y, if x < y then x – y is a positive rational number.
Options
True
False
Solution
This statement is False.
Explanation:
For rational numbers x and y,
If x < y, then x – y is a negative rational number.
e.g. Let `x = 1/2, y = 1/3` are two rational numbers.
Then, according to equation,
`x - y = 1/2 - 1/3`
= `(3- 2)/6`
= `1/6`
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