SOLUTION: I do not have a question from the book. I have a linear inequality of 5x + 10 y <= 100 Could you tell me how to graph this inequality? Thank you.

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Question 91980: I do not have a question from the book. I have a linear inequality of 5x + 10 y <= 100
Could you tell me how to graph this inequality? Thank you.
Answer by mathispowerful(115) About Me  (Show Source):
You can put this solution on YOUR website!
I have a linear inequality of 5x + 10 y <= 100

First let's rewrite the inequality:
10y <= 100 - 5x
y <= 10 - 0.5x

graph the equation y = 10 - 0.5x

graph%28200%2C200%2C+-10%2C20%2C+-10%2C+15%2C+10-0.5x%29
since y should be smaller than or equal to 10-0.5x, so
the graph is the region below the line y = 10-0.5x, including the line.
You may shade the region after you draw the line