Answer:
The system of inequalities are
x - y < 1 and y < - 2
Step-by-step explanation:
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 [tex]\frac{y + 1}{- 1 - 0} = \frac{x - 0}{0 - 1}[/tex]
⇒ 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)
