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Math Help - Please Help!!!!

  1. #1
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    Unhappy Please Help!!!!

    I am having a problem graphing inequalities. I cannot seem to get it!

    -2x+y<=10

    I am so lost. I thought the answer was x -5 and y 0

    I always graph the points backwards. Can anyone help me make sense of this!
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  2. #2
    hpe
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    Quote Originally Posted by Nicv
    I am having a problem graphing inequalities. I cannot seem to get it!
    -2x+y<=10
    Here is how you can do this: Replace the inequality with an equality, i.e. write -2x+y=10. This is a line equation, so you graph the line: y = 2x + 10. The line divides the entire plane into two halves. The question then is which half corresponds to the inequality.

    To decide, set x = y = 0 : You notice that you obtain a correct inequality. Thus the point (0,0) is in the half plane that is described by the inequality, i.e. all points below the line are described by the inequality.
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