The points which represents a the solution are: A, C, D and K

Step-by-step explanation:

See the attached figure.

The given inequalities: y ≤ −2x + 10 & y > 1/(2x − 2)

The given points: A(-5,4), B(4,7), C(-2,7), D(-7,1), E(4,-2),

F(1,-6), G(-3,-10), H(-4,-4), I(9,3), J(7,-4) and K(2,3).

The attached figure represents the graph of the given inequalities.

The shaded area represents the solution of the inequalities.

So, the points lies in the shaded area represents the solution of the inequalities.

So, points A, C, D and K are a solution to the system of inequalities.

=========================================

Note:

If the given inequalities: y ≤ −2x + 10 & y > (1/2x) - 2

It will be the same solution.

Point B is a solution to the system of inequalities

Further explanationStraight-line equations are mathematical equations that are described in the plane of cartesian coordinates

General formula

or

y = mx + c

Where

m = straight-line gradient which is the slope of the line

x1, y1 = the Cartesian coordinate that is crossed by the line

c = constant

The formula for a gradient (m) between 2 points

If the intersection of the x-axis (b, 0) and the y-axis (0, a) then the equation of the line:

ax + by = c

It says inequality if there are symbol forms like <, >, ≤ or ≥

Whereas linear inequality can have forms:

ax + by> c, ax + by ≥ c , ax + by <c , ax + by ≤ c

In graphical form, line inequality can be

•dashed line because y does not include equals to

•a solid line because y includes equal to

For line inequality (positive coefficient y)

ax + by ≥ c then the solution is shaded upwards

ax + by ≤ c then the solution is shaded down

(Picture attached)

The line :

intersect x-axis at point : 5,0

Intersect y-axis at point : 0,10

And the solution is shaded upwards

intersect x-axis at point : 4,0

Intersect y-axis at point : 0,-2

And the solution is shaded upwards

And the point located in the shaded plane of the two inequality is point B and I

Learn moreLinear inequality represented by the graph

Keywords: linear inequality,graph

#LearnWithBrainly

points B (4,7) and I (9,3)

If the inequalities are

y > −2x + 10 and y> (½)x -2

Step-by-step explanation: If I interpreted the inequalities correctly, the attached graph shows them. It is possible that you meant y > 1/(2x-2) for the second inequality. If so, we start over!

You can test the values for all the points, but it appears that (4,7) and (9,3) both work.

The other coordinates appear to be outside the solution -- the dark-shaded area.

I hope this is your Brainliest answer. It was a lot of work!

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