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प्रश्न
If x and y are two rational numbers such that x > y, then x – y is always a positive rational number.
पर्याय
True
False
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उत्तर
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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संबंधित प्रश्न
Write four more rational numbers in the following pattern:
`(-1)/4, (-2)/8,(-3)/12 ....`
Which of the following pairs represent the same rational number?
`1/3 "and" (-1)/9`
Rewrite the following rational number in the simplest form:
`(-8)/6`
Write the given rational numbers in ascending order:
`(-1)/3, (-2)/9, (-4)/3`
Write the given rational numbers in ascending order:
`(-3)/7, (-3)/2, (-3)/4`
Write three rational numbers that lie between the two given numbers.
`- 2/3 , 4/5`
List any five rational numbers between the given rational numbers.
`1/4` and `7/20`
Give an example and verify the following statement.
The mean of two rational numbers is rational and lies between them
`5/6` lies between `2/3` and 1.
Between any two rational numbers there are exactly ten rational numbers.
