Question 891075
First, understand {{{x<>X}}}.


Start with  {{{x^2-x-6>0}}}
Factor as {{{(x+2)(x-3)>0}}} which shows the critical points at -2 and 3.


The quadratic expression is a parabola with a minimum for x between the two critical values.
You can check in the three intervals for relation to zero if you want.


Expect to find the given statement is true for {{{highlight(x<-2)}}} and for {{{highlight(x>3)}}}.


{{{graph(300,300,-6,6,-8,4,x^2-x-6)}}}