imhimanshu wrote:

Hello Experts,

Can we evaluate the value of rs by below method

Given:

0<r<1 ---(1)

1<s<2 ---(2)

It can be seen that both r and s are positives, hence multiplying r and s will not have any effect on inequality

Hence,

Multiplying 1 and 2

0<rs<2 ---(3)

Am I right in concluding equation (3). Please clarify.

Thanks

Though I am not an expert, the answer to your question is Yes,

And, in fact we can solve all the equations in I, II, III by this method.

If 0<r<1 and 1<s<2

then 0<r/s<1 ----- I) True

Again as you suggested 0<rs<2 --- II) Hence False since it can take values more than 1 as well.

For III) multiply r inequality by -1

we get -1 < -r < 0 and 1<s<2

adding the inequalities

0 < s-r < 2 ------ Again this inequality can take value more than 1 hence False..

Consider Kudos if it helped