Question

The answer to this problem

Answer 1

Let's assume that you are to graph the inequality. 
1.  Graph -3x + 4y = 12.  Note that the x-intercept is (-4,0) and the y-intercept is (0,3).  Use a dashed line, not a solid line, due to the ">" sign.
2.  Choose a test point (e. g., (0,1) ) and subst. these coordinates into -3x + 4y = 12.  Is the equation then true or false?  If true, shade the area (on one side of -3x + 4y = 12 or the other) in which the test point (0,1) lies.  If false, shade the other side of -3x + 4y = 12.