Question

x+y / 2 is a rational number.(a) Between x and y(b) Less than x and y both.(c) Greater than x and y both.(d) Less than x but greater than y

Answer 1

$\text{Consider,}$

$\frac{x+y}{2}-x=\frac{x+y-2x}{2}=\frac{y-x}{2}$

$y-\frac{x+y}{2}=\frac{2y-x-y}{2}=\frac{y-x}{2}$

$\frac{x+y}{2}-x=y-\frac{x+y}{2}$

$\implies\textbf{x, \bf\frac{x+y}{2} , y are in A.P}$

$\implies\text{ \frac{x+y}{2} is a rational between x and y}$

$\therefore\textbf{Option (a) is correct}$

Find more:

1.Insert two rational number between 2/5 and 5/7

https://brainly.in/question/13234112

2.Find three rational number between - 4/ 5 and - 6 / 7

https://brainly.in/question/3903184

Answer 2

Answer:

Between x and y

Step-by-step explanation:

Let us assume the value of x and y is 4 and 8 respectively Then, = (4 + 8)/ 2 = 12/2 = 6 Hence, the value 6 is lies between 4 and 8/2 x-y-2-is-a-rational-number-a-between-x-and-y-b-less-than-x-and-y-both