Advertisements
Advertisements
Question
For rational numbers x and y, if x < y then x – y is a positive rational number.
Options
True
False
Advertisements
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`
APPEARS IN
RELATED QUESTIONS
Write the additive inverse of `(-6)/(-5)`
Write the additive inverse of `2/(-9)`
Verify that – (– x) = x for x = `-13/17`
Write : The rational number that is equal to its negative.
Write the additive inverse of each of the following rational numbers:
Write the additive inverse of each of the following rational numbers:
If `x/y` is the additive inverse of `c/d`, then `x/y + c/d` = 0.
The negative of a negative rational number is a positive rational number.
Find the sum of additive inverse and multiplicative inverse of 7.
Find the product of additive inverse and multiplicative inverse of `- 1/3`.
