Which linear inequality is represented by the graph?y < 3x + 2y > 3x + 2y < x + 2y > x + 2

Answer: The graph is represented by the inequality y>3x+2
Step-by-step explanation:Linear inequality is like linear equation just we have inequality signs (<,>,≤,≥) instead of equal sign(=).In the given question we have the linear inequality represented by graphWe can see the line in the graph passing through the point (-3,-7)Let's check which option satisfy the point1) y<3x+2 for this the line should be y=3x+2⇒ -7=3(-3)+2⇒-7= -9+2⇒-7=-7,which is true.2) y>3x+2 which similar as first.3) y<x+2 for this the line should be y=x+2⇒ -7= -3+2⇒-7=-1 which is not true.4) y > x + 2 is similar to third. Option 3) and 4) cannot be the required linear inequality.Now from 1) and 2) , 2) should be the required linear inequality as the graph is shaded above the line and that must be for y (>) greater than inequality. [ for y (<) less than inequality the graph must be shaded below the line]Therefore, 2)  y > 3x + 2 is the required linear inequality which is represented by the graph.