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metalfoot

USA
Joined: Dec 25, 2011
Posts: 2
Status: Offline

Inequalities with < or <= are shaded above or below the line?
 [Dec 25, 2011 9:04:38 AM] [Link]
pskinner

Joined: Apr 2, 2005
Posts: 797
Status: Offline

 Inequalities with < or <= are shaded above or below the line?

Depends on where the variables are. Consider x+y<2. Notice that the origin, x=0 and y=0, satisfies this inequality. So, the side that contains the origin, (0,0), is the shaded side. And, the boundary is the dashed line x+y=2.

On the other hand, y<x+2 also has the origin on its side and the boundary is dashed line y=x+2.

So, you can often just test one value, like the origin, (0,0), to see which side is shaded or not.
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Principal Skinner
 [Dec 27, 2011 7:05:19 PM] [Link]
markstanley

United States
Joined: Jan 30, 2012
Posts: 1
Status: Offline