Which system of linear inequalities is represented by thegraph?y> 2x – 1 and y < 2x + 2y > 2x + 2 and ys 2x-1y < 2x + 2 and y? 2x-1y< 2x + 1 and y>2x - 2

Answer:y > 2x + 2 and y < 2x-1 .Step-by-step explanation:The line which the blue shaded area represent has y intercept 2 and slope [tex]\frac{2}{1} =2[/tex]Hence equation of the line is y=2x+2.To check the inequality for the shaded region we take any  point (-3,0) in the shaded region .Plugging the values in the given equation :0 > 2(-3)+2  or 0 >-4.The inequality equation represented by the blue shaded part is y > 2x+2.The line for the red shaded region has y intercept -1 and slope 2.Hence equation of the line is y= 2x-1 .Taking a point (2,0) in the shaded part and substituting the values in the equation of line we have :0< 2(2)-1 or 0< 3 .Hence the inequality representing the red shaded region is y<2x-1 .