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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
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`
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संबंधित प्रश्न
Write the additive inverse of each of the following rational numbers:
Write the negative (additive inverse) of each of the following:
Write the negative (additive inverse) of each of the following:
−1
The additive inverse of `1/2` is –2.
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 the negative of any rational number is the number itself.
Verify – (– x) = x for x = `3/5`
Verify – (– x) = x for x = `(-7)/9`
Huma, Hubna and Seema received a total of Rs. 2,016 as monthly allowance from their mother such that Seema gets `1/2` of what Huma gets and Hubna gets `1 2/3` times Seema’s share. How much money do the three sisters get individually?