Question 1027173
Find the critical values of x.  They will be the ZEROS of the equation.  These critical values cut the x-axis number line into three intervals.  Pick any value in each interval and test in the INEQUALITY.  Either the statement is true or it is false for that interval.


Your critical values are {{{(5+- sqrt(25+4*24))/2}}}
{{{(5+- sqrt(121))/2}}}
{{{(5+- 11)/2}}}
The critical x values,  <b>-3 AND 8</b>.


Maybe the two-D overhead parabola view will help too:
{{{graph(300,300,-6,10,-7,7,x^2-5x-24)}}}



Solution is  {{{-3<=x<=8}}}.