Rewrite 1st inequality in equivalent form

    4x - 6 < 2y.


Then you have a system of two inequalities

    y > 2x - 3    (1)

    x > 3         (2)



      On the coordinate plane, plot straight line  y = 2x - 3.       (3).


It divides the coordinate plane in two halves above and below this straight line.
Everything which is above this straight line, is the solution to inequality (1).



      Next, on the coordinate plane, plot straight line x = 3.       (4). 


It is vertical line.

It divides the coordinate plane in two halves to the left of this line and to the right.
Everything which is on the right of this straight line, is the solution to inequality (2).



The solution to the system is everything in the intersection of the two solution sets.


It is the solution to the given system of inequalities.


   +--------------------------------------------------------------------------+
   |  AGAIN: the solution set to the given system of inequalities             |
   |  is the set of points in the coordinate plane that are                   |
   |  ABOVE the straight line (3) and on the RIGHT from the straight line (4).|
   +--------------------------------------------------------------------------+


The points on the lines (3) and (4) are not included to the solution set.