Question

If $x$ and $y$ are two rational numbers such that $x>y$, then $x-y$ is always a positive rational number. State whether the statement is true (T) or false (F).

• A. True
• B. False

Answer 1

The correct option is A True

Verify the given statement

Let us assume that $x$ and $y$ are two rational numbers such that,

$x=8$, $y=5$, $x>y$

Then,

$x–y=8–5=3$

So, if $x$ and $y$ are two rational numbers such that $x>y$, then $x-y$ is always a positive rational number.

Hence, the given statement is True.