SOLUTION: When graphing a linear inequality, how do you know if the inequality represents the area above the line?

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Question 229512: 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!
If the equation is in the form , you always shade ABOVE the line.
If the equation is in the form , you always shade BELOW the line.

In the form , if the coefficient of y is positive, then you shade above the line. If, with y coefficient positive, you shade below the line.

If you have a NEGATIVE coefficient of y, the RULE is REVERSED!

For a more detailed explanation on this, please see my website by doing a Bing or Google search for my last name "Rapalje". Look for "Rapalje Homepage" near the top of the search list. On my Homepage, look for "Math in Living Color" near the top of the page. Choose "Basic Algebra", and look for "Section 4.04 Inequalities in Two Variables."

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida

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