Question

Someone please help me with this easy rational equation!! I will be forever in your debt

Answer 1

x/(x+1)<x/(x-1)

Answer 2

hmm how would you solve , say \(\bf \cfrac{x}{x+1}=\cfrac{x}{x-1}\quad ?\)

Answer 3

I'd have to multiply for the LCM. But I don't know hw to do that, or what's the LCM of (x+1) and x-1

Answer 4

well.... or just "cross-multiply"

Answer 5

well, you'd do the same in the \(\Large <\) case, you cross-multiply

Answer 6

\[\frac{ x }{x+1}<\frac{ x }{ x-1 }\]
\[x(x-1)<x(x+1)\]
\[x ^{2}-x<x ^{2}+x\]
\[-2x<0\]
\[x>0\]

Answer 7

Thank you all so much!!!