Problem:
Graphically, solve the inequality:

|x - 3| > |x + 4|

Visualization #1:
Graph each of the functions

f(x) = |x - 3| and g(x) = |x + 4|

and determine the part of the graph of f which is above the graph of g:

This picture was generated by MPP.
Visualization #2:
Graph the function

f(x) = |x - 3| - |x + 4|

and determine the part of the graph of f which is above the x-axis:

This picture was generated by MPP.

For these visualizations, we have detailed instructions for the following software packages: