[tex] \frac{x + 1}{x - 1} > 0 \\ [/tex]
multiply both sides by the x-1 to get rid of the fraction.
[tex]x + 1 > 0 \\ because \: x - 1 \times 0 = 0[/tex]
subtract 1 from each side
x>-1
The solution is
x<−1
x>1
See the image
