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

y > 1/2x - 2

Choices:

E

K

B

D

Option C, i.e., point B.

Step-by-step explanation:

The given system of inequalities is

    ...(1)

    ...(2)

If a point is a solution of given system of inequalities, then the both inequalities must be satisfy by the point.  

From the given graph it is clear that coordinates of point E are (4,-2).

Put x=4 and y=-2 in (1).

False.

From the given graph it is clear that coordinates of point K are (2,3).

Put x=2 and y=3 in (1).

False.

From the given graph it is clear that coordinates of point B are (4,7).

Put x=4 and y=7 in (1).

True.

Put x=4 and y=7 in (2).

True.

Since both inequalities are true for B(4,7), therefore point B is the solution.

From the given graph it is clear that coordinates of point D are (-7,1).

Put x=-7 and y=1 in (1).

False.

Since the given inequalities are false for points E, K and D, therefore they are not the solution.

80

step-by-step explanation: