ANSWER
Step-by-step explanation
To graph the solutions of a system of inequalities we have to draw the solutions for each inequality.
For the first one we have y<2x+7, so we have to draw a dashed line y = 2x+7. It has to be dashed because the solutions don't include the points on the line. The solutions of this inequality are all the points below the line:
THen, for the second inequality, we have y≥-5x-4 so we have to draw a continuous line y = -5x - 4 because in this case the solutions do include the points on the line. Then the other solutions are all the points above this line (including the line):
If we graph the two of them in the same graph, the solutions to the system are all the points where the two shaded areas intersect: