Question 705124
An attempt to explain:

"Y is greater than or less than X ",


That symbolically says, {{{Y>X}}} OR {{{Y<X}}}.
  
Consider the line in two dimensions, Y=X.  You can easily visualize and graph this.  It's a line through the origin with slope 1.  That is for the EQUATION.  

You are now considering the INEQUALITY in which the actual line is EXCLUDED.  You should draw a dotted line instead of a solid line, and shade the regions above and below the dotted line.  You have {{{Y>X}}} above the dotted line, and you have {{{Y<X}}} shaded below the dotted line.