Answer:
Option D) 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 y-intercept of the dashed line is (0,10)
The x-intercept of the dashed line 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 y-intercept of the dashed line is (0,-2)
The x-intercept of the dashed line is (4,0)
The solution of the system of inequalities is the shaded area between the two dashed lines
see that attached figure
Remember that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution
therefore
The solution are the points
E, F and G
