Question

if a and b are two rational numbers then a) a+b/2<a b) a+b/2<b c) a+b/2=a d) a+b/2>b tell m ​

Answer 1

If a and b are two distinct rational number then a+b2 is a also a rational number lying between a and b....

HOPE it helps ❤️

Answer 2

Given:

a and b are two ratonal numbers b) $a+b/2 <b$

Step-by-step explanation:

"The product of two rational numbers is rational."

let take a is greater than b,

$a < b$

So, $a + a < a + b$

both side should divide by 2,

 $(a + a)/2 < (a + b)/2$

$2a/2<(a+b)/2$

$a<(a+b)/2$

take  $a < (a + b)/2$-------1

And $a + b < b + b$

both side should divide by 2,

$(a+b)/2<(b+b)/2$

$(a+b)/2<2b/2$

$(a+b)/2<b$

 $(a + b)/2 < b$--------2

From 1 and 2

$a < (a + b)/2 < b$

Thus,$a+b/2<b$ is a rational number between a and b.