Answer:
The correct option is 2.
Step-by-step explanation:
From the given graph it is noticed that the related line passing through the points (0,-2) and (1,0).
If a line passing through two points, then the equation of line is
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The related equation is
[tex]y-(-2)=\frac{0-(-2)}{1-0}(x-0)[/tex]
[tex]y+2=2x[/tex]
[tex]y=2x-2[/tex]
So, the related equation is [tex]y=2x-2[/tex].
From the graph it is noticed that the point (0,0) contained in the shaded region.
check the related equation by (0,0).
[tex](0)=2(0)-2[/tex]
[tex]0=-2[/tex]
This statement is true if the sign is [tex]\geq[/tex] insted of equality.
Therefore the required inequality is
[tex]y\geq 2x-2[/tex]
Option 2 is correct.
