Answer:
The system of inequalities are x - y < 1 and y < - 2 The horizontal line shown in the graph has equation y = - 2 {As it is parallel to x-axis} Now, this line is dotted and the lower portion of the graph is shaded. So, the inequality will be y < - 2 ......... (1) Again, another line is there in the graph which passes through the points (1,0) and (0,-1)So, its equation will be
⇒ y + 1 = x ⇒ x - y = 1 Now, the origin (0,0) is within shaded zone of the inequality and putting x = 0 and y = 0, we get 0 - 0 < 1 So, the equation of the inequality is x - y < 1 {As the line is dotted} Therefore, the system of inequalities are x - y < 1 and y < - 2 (Answer)
Explanation: