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प्रश्न
For rational numbers x and y, if x < y then x – y is a positive rational number.
विकल्प
True
False
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उत्तर
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`
APPEARS IN
संबंधित प्रश्न
Verify that – (– x) = x for x = `11/15`
Write the additive inverse of each of the following rational numbers:
Write the negative (additive inverse) of each of the following:
The negative of 1 is ______.
If `x/y` is the additive inverse of `c/d`, then `x/y + c/d` = 0.
If x + y = 0, then –y is known as the negative of x, where x and y are rational numbers.
The negative of 0 does not exist.
If x and y are negative rational numbers, then so is x + y.
The negative of a negative rational number is a positive rational number.
Verify – (– x) = x for x = `13/(-15)`
