Question

for x=2/5 and y=-7/11, is |x +y|= |x| + |y|? If not, find two rational numbers between |x+y|and |y|.

Answer 1

|2/5+-7/11|
|2/5 - 7/11|
|22-35/55|
|-13/55|
13/55

Now 2 step
|2/5|+|-7/11|
i.e. 2/5+7/11
=22+35/15
=57/15
So clearly
|x+y|is not equal to|x|+|y|.

So now 2 rational nos bw x+y and y are
X+y=13/55
Y=7/11...

To find the rat nos bw them 1 convert them to same denominator by taking lcm
Lcm of 55 and 11=55

So the new nos are13/55 and 35/55.
So the 2 nos bw them are 14 /55 and 15/55 or you can choose any no bw these 2 nos.....hope it helps u