SOLUTION: a. Write a system of inequalities whose solution is represented by the shaded region shown on the graph at the right b. Name a point that is a solution of the system of inequali

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Question 1095451: a. Write a system of inequalities whose solution is represented
by the shaded region shown on the graph at the right
b. Name a point that is a solution of the system of inequalities.
c. Name a point that is not a solution to the system of
inequalities.
https://prnt.sc/bat1nx
I figured out question 1, and I think 2
I think that question 2 is, 0,0
if someone can help me with question c, and maybe check if question B is correct than thank you very much.
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Part A

The system of inequalities is

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The first inequality is drawn from the fact that the border line has shading above this boundary line. This is the solid line shown.

In contrast, the inequality has the boundary line shown by the dashed line. The shading is below this line.

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To find the equation of any line given two points, you follow this basic template:

Step 1) Find the slope using the two points. Use the slope formula.
Step 2) Find the y intercept using either y-y1 = m(x-x1) or y = mx+b

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Part B

The point (0,0) is a solution to this system since it is in the shaded region. Do not forget to surround the ordered pairs values with parenthesis.

Note: Any point that is on the solid boundary line is a solution

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Part C

One point that is not in the shaded region is the point (0,4). So this is one non-solution.

Note: Any points that are on the dashed boundary line (that aren't on the solid line) are non-solutions as well.