SOLUTION: Graph the inequality. 2x + 3y > 6
-> -> SOLUTION: Graph the inequality. 2x + 3y > 6
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Graph the inequality.
2x + 3y > 6
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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 do
shade the entire region that contains (0,0). So this means we shade the region that is on the opposite side of the line
with the boundary (which is the line
in red) and the shaded region (in green)
(note: since the inequality contains a greater-than sign, this means the boundary is excluded. This means the solid red line is really a dashed line)