Question 37164
x^2-5x+6>2
Is the same as x^2-5x+4>0

Applying the general formula:

{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 

We get the solution x=1,x=4.

Therefore the solution is the union of two intervals minus the values for which the equation is equal to cero (-inf,1)U(4,+inf)-(1,4)