Question:
Which of the following statements is always true?
(a) $(x-y) / 2$ is a rational number between $x$ and $y$.
(b) $(x+y) / 2$ is a rational number between $x$ and $y$.
(c) $(x \times y) / 2$ is a rational number between $x$ and $y$.
(d) $(x \div y) / 2$ is a rational number between $x$ and $y$.
Solution:
(b) $(x+y) / 2$ is a rational number between $x$ and $y$ Let us assume the value of $x$ and $y$ is 6 and 9 respectively
Then,
$=(6+9) / 2$
$=14 / 2$
$=7$
Hence, the value 7 is lies between 6 and 9 .