Question

The coordinate grid shows points A through K. What point is a solution to the system of inequalities?

Answer 1

Answer:

Option D) F

Step-by-step explanation:

we have

$y < -2x+10$ -----> inequality A

The solution of the inequality A is the shaded area below the dashed line $y=-2x+10$

The y-intercept of the dashed line is (0,10)

The x-intercept of the dashed line is (5,0)

$y < \frac{1}{2}x-2$ ----> inequality B  

The solution of the inequality B is the shaded area below the dashed line $y=\frac{1}{2}x-2$

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