How do you graph the inequality # y > -3# and #x>5#?

To graph the inequality ( y > -3 ) and ( x > 5 ), follow these steps:

1. Begin by graphing the line ( y = -3 ) as a dashed horizontal line. Since the inequality is ( y > -3 ), the line should be dashed to indicate that points on the line are not included in the solution set.

2. Next, shade the region above the dashed line to represent the solutions where ( y ) is greater than -3.

3. Then, graph the line ( x = 5 ) as a dashed vertical line. Since the inequality is ( x > 5 ), the line should be dashed to indicate that points on the line are not included in the solution set.

4. Shade the region to the right of the dashed vertical line to represent the solutions where ( x ) is greater than 5.

5. The solution to the system of inequalities is the overlapping shaded region above the dashed horizontal line and to the right of the dashed vertical line.

So, graphically, the solution to the inequality system ( y > -3 ) and ( x > 5 ) is the region above the dashed horizontal line ( y = -3 ) and to the right of the dashed vertical line ( x = 5 ).

You graph the inequality ( y > -3 ) by drawing a horizontal line at ( y = -3 ) on the y-axis and shading the area above the line. Then, you graph the inequality ( x > 5 ) by drawing a vertical line at ( x = 5 ) on the x-axis and shading the area to the right of the line. The region where both inequalities are true is the shaded area that lies above the horizontal line at ( y = -3 ) and to the right of the vertical line at ( x = 5 ).