Answer:
Option 4. F
Step-by-step explanation:
we have
[tex]y< -2x-10[/tex] ----> inequality A
The solution of the inequality A is the shaded area below the dashed line [tex]y=-2x-10[/tex]
The slope of the dashed line A is negative m=-2
The y-intercept of the dashed line A is (0,-10)
The x-intercept of the dashed line A is (-5,0)
[tex]y < \frac{1}{2}x-2[/tex] ----> inequality B
The solution of the inequality B is the shaded area below the dashed line [tex]y=\frac{1}{2}x-2[/tex]
The slope of the dashed line B is positive m=1/2
The y-intercept of the dashed line B is (0,-2)
The x-intercept of the dashed line B is (4,0)
The solution of the system of inequalities is the shaded area below the dashed line A and below the dashed line B
Remember that
If a point is a solution of the system of inequalities, then the point is in the shaded area of the solution set of the system
using a graphing point
Graph the solution of the system of inequalities
see the attached figure
The solutions point are
E,J,F and G
The point H is not a solution because the line B is a dashed line
