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Graphing the Solution Region of System of Linear Inequalities in Three Variables:
Example:
Graph the solution set of the system of linear inequalities.
Solution:
We have
 ————— (A)
 ————— (B)
 ————— (C)
The corresponding equations of inequalities (A), (B) and (C), we get
 ————— (1)
 ————— (2)
 ————— (3)
For x–Intercepts:
Put  in Eq (1), Eq (2) and Eq (3) we get
For y–Intercepts:
Put  in Eq (1), Eq (2) and Eq (3) we get
Test:
Put origin as test point in inequalities (A), (B) and (C).
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 (True)
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 (True)
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 (True)
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 Solution Set towards origin side.
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 Solution Set towards origin side.
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 Solution Set towards origin side.
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