Respuesta :
Answer:
Option B.
Step-by-step explanation:
On a coordinate plane, 2 solid straight lines and their shaded region are shown. We need to find the system of inequalities.
It is given that the first line is vertical at x = -2. Everything to the right of the line is shaded. It means the value of x must be greater than or equal to -2.
[tex]x\ge -2[/tex]
The second line has a positive slope and goes through (-2, -6) and (0, 0).
If a line passes through two points, then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through the point (0,0) and (-2,-6). The equation of line is
[tex]y-0=\dfrac{-6-0}{-2-0}(x-0)[/tex]
[tex]y=3x[/tex]
Everything to the left of the line is shaded. It means the sign of inequality is ≥.
[tex]y\ge 3x[/tex]
Missing sign in both inequalities is ≥.
Therefore, the correct option is B.
