The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y ≤ −2x + 10 y > 1 over 2x − 2

Answer:
A, C, D and K
Step-by-step explanation:
First, plot the solution set to the system of two inequalities.
The inequality [tex]y\le -2x+10[/tex] determines solid line and bottom shaded region under this line.
The inequality [tex]y>\dfrac{1}{2}x-2[/tex] determines dotted line and top shaded region under this line.
The intersection of these two regions is the solution set to the system of two inequalities.
Points A, C, D and K belong to this region.