anonymous
  • anonymous
when graphing a system of inequalities, how do I know which area to shade? {Example: y>(2/3)x-4}
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
If you have to shade the required region, if it is y > something, then you shade above the line if it is y < something, shade below the line
anonymous
  • anonymous
does this change if the > or < sign has an = under it?
anonymous
  • anonymous
The way I know to do this is to choose an ordered pair that is not on the line, like (0,0) in this case, and plug it into the inequality. If it makes the inequality true, then we shade that region. If it makes the inequality false, we shade the opposite region

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anonymous
  • anonymous
The only thing that changes is that your line on the graph will be solid if you have the < or > sign with an = under it. Without the = under it, the line is a dashed line

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