Inequalities Question (1 Viewer)

[.ben]

X-1
----- >0
X-2

For this question, you know how you usually multply both sides by (X-2)², why can't you multiply it by (X-2)³ or (X-2)⁴ etc?

 

[SoulSearcher]

Becuase it is sufficient enough to multiply by (x-2)² to find the solutions. If you multiply by (x-2)³, there is a chance you could be multiplying by a negative number. Multiplying by (x-2)⁴ just makes it more complicated.

EDIT: What webby said