Question 865401: Hello, I am having a hard time understanding how to graph the linear inequalities. I think I am starting off right by substituting numbers for x and y and getting my points, I am just having a hard time plotting them. I need an example or something. I will provide a recent problem:
5x-4y>-8
4x+y<6
y>-2
I think I am suppose to take those first two and substitute both x and y to get my points, but I am unsure if I can choose any numbers I want or should they be certain numbers? For example, the first problem, I substituted x with 0 and got (0,2). I think I have that part down, graphing seems to be what I am not understanding. My homework assignments we have to graph and shade, so I am unsure what I am doing wrong.
Thank you so much.
Answer by josgarithmetic(39616)   (Show Source):
You can put this solution on YOUR website! (1)
Solve each inequality for y in terms of x.
(2)
Graph each inequality, using shading to show the points in the region area which satisfies each inequality; and use dotted line to show the line of equality for each inequality, because you have strict inequalities.
(3)
The densist shading is the area region which satisfies the system of inequalities.
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