Question

(x-2)^2-(x+3)^2>(x-1)^2-(x-2)^2

Answer 1

(x-2-x-3)(x-2+x+3)>(x-1-x+2)(x-1+x-2)
-5*(2x+1)>1*(2x-3)
-10x-5>2x-3
-10x-2x>-3+5
-12x>2
x<$\frac{2}{12}$
x<$\frac{1}{6}$