Can someone check pf: If y element reals and (y+1)/(y-2)=x, then x≠1

[IntroAnalysis]

Homework Statement

If y element of Reals and (y+1)/y-2) = x, then x ≠ 1.

Homework Equations

The Attempt at a Solution

Proof by contradiction. Assume x = 1. Then y + 1 = y -2 or 1 = -2. This is false. It contradicts (y+1)/(y-2)= x. Therefore, x ≠ 1.

 

[micromass]

Looks good!