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Question 4780: When graphing a linear inequality, how do you know if the inequality represents the area above the line?
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! I think you are talking about an inequality in a form such as
y< mx +b, y> mx + b, ax +by < c, ax + by > c, or perhaps using symbols for "less than or equal to" or "greater than or equal to".
For inequalities in which y < mx + b or ax + by < c, the area below the line will be shaded, provided the y-coefficient is POSITIVE.
Likewise, for inequalities in which y > mx + b or ax + by > c, the area above the graph will be shaded, again provided the y-coefficient is POSITIVE.
The same rule applies for symbols for "less than or equal to" and "greater than or equal to". This may need further explanation or examples. I hope I am answering the right question.
R^2 at SCC
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