Question 146849
First, change the original inequality into an equation.  Just switch less than with equals.  Then get the original equation into y=mx+b form.  Solve for y, that is. You should get {{{y=(3/4)x-3}}}.  The graph of this line looks like this:
*[invoke describe_linear_equation 3, -4, 12]

Now since it is less than and not equals, simply dot the line and shade the graph under it.  Then you're done and you have successfully graphed {{{y<(3/4)x-3}}}, which is your original equation in y=mx+b form.  


If you still need help understanding this concept, go to my lesson on graphing inequalities:
http://www.algebra.com/algebra/homework/Graphs/Inequalities-Made-Easy.lesson