the graph shows the solution to which system of inequalities

Answer:Option: B is the correct answer.      B)  y≤x+1   and  y>x-3Step-by-step explanation:The first line is a solid line ( This means that the inequality will be a inequality with a equality sign ) such that it passes through (-1,0) and (0,1)such that the shaded region is towards the origin.i.e. the inequality passes the zero-point test. Hence, the inequality that best describes this situation is:                   y ≤ x+1Also, the second line is a dotted line ( This means that the inequality is strict ) such that it passes through (3,0) and (0,-3) and the shaded region is towards the origin i.e. the inequality passes the zero point test.Hence, the inequality that best describe the situation is:                        y > x-3     Hence, the answer is:  Option: B