I'm using Mathematica 8
I've been searching the net without luck for this specific solutions:
Suppose I have an inequality f(x;M,m)>0 where I KNOW that M>4m and m>0. How can I let Mathematica know this so that when solving the inequality using
Reduce I don't get twenty irrelevant solutions, but instead only solutions where 0<4m
I've used assumptions and so on but without luck, for instance:
Assuming[m > 0, Reduce[(x + m)*(x - m) < 0]]
x \[Element] Reals && (m < -Sqrt[x^2] || m > Sqrt[x^2])
m<-Sqrt is unnecessary here, so why does Mathematica write it out? How can we stop it?