In order to draw the solution of the inequality on the coordinate plane, you should take such steps:
1 step. Consider the equation [tex]y=x-3.[/tex] This equation represents the straight line. This line should be drawn dashed, because the sign of the inequakity is > (without notion "equal to"). Find x-intercept and y-intercept. When x=0, y=-3 and when y=0, x=3, so points (0,-3) and (3,0) are y-intercept and x-intercept, respectively.
2 step. Plot the points (0,-3) and (3,0) and connect them by dashed line. This line divides coordinate plane into two semiplanes.
3 step. Consider the origin (0,0). Since 0>0-3, you have to take left semiplane.
Therefore, the correct region is shown in the attached diagram.
