SOLUTION: How do you solve and/or graph inequalities?

Question 124603: How do you solve and/or graph inequalities?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How do you solve and/or graph inequalities?
Let's say you have 3y + 6x <= 12 and you want to graph the solution:
1st: solve for "y"
y <= -2x+4
2nd: Graph the equality which is the boundary of the inequality:
y = -2x+4

-------------
3rd: Determine what side of the line is the solution for the
inequality.
How:
Take a test point that is not on the boundary, like (0,0)
Substitute those x/y values into the inequality to see if
you get a true statement:
0 < -2*0 +4: This is true so the side with (0,0) is
the solution set; Shade it.
========
The full solution is the boundary line plus the half-plane
that contains (0,0).
==============================
If "equality" was not part of the problem, the boundary line
should be drawn as a dashed line as it is not part of the
solution. The test point would still reveal which side of
the dashed line is the solution for the inequality.
=======================================
Cheers,
Stan H.
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