SOLUTION: Graph 2x+3y<=6
-> SOLUTION: Graph 2x+3y<=6
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Algebra: Inequalities, trichotomy
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In order to graph
, we need to graph the
(just replace the inequality sign with an equal sign).
So lets graph the line
(note: if you need help with graphing, check out this
Now lets pick a test point, say (0,0). Any point will work, (just make sure the point doesn't lie on the line) but this point is the easiest to work with. Now evaluate the inequality
with the test point
Substitute (0,0) into the inequality
Since this inequality is true, we simply shade the entire region that contains (0,0)
with the boundary (which is the line
in red) and the shaded region (in green)