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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 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3

E
K
B
D

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facundo3141592

We want to see which points are solutions for the given system of inequalities, we will see that the solutions are points B and L.

Solving a system of inequalities:

Here we have the system:

y > -2x + 10

y > 1/(2x - 2)

A point is a solution of the system if and only if it is a solution for both inequalities.

To see which points are solutions, just replace the x-value and y-value of each point on the inequalities, if both the inequalities are true for that point, then the point is a solution of the system.

We will see that the solutions are the points:

B) (4, 7)

Replacing the points in the inequalities we get:

7 > -2*4 + 10 = 2   (true)

7 > 1/(2*4 - 2) = 1/6   (true)

L) (9,3)

Replacing that we et:

3 > -2*9 + 10 = -8  (true)

3 > 1/(2*9 - 2) = 1/16   (true)

All the other points make at least one of the inequalities (mostly the first one) false.

So only B and L are solutions for the system.

If you want to learn more about inequalities you can read:

https://brainly.com/question/19491153

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