SOLUTION: Taking an on-line class and cannot find any examples of this in my book and I am at a loss. I can sketch graphs like 3x-2y =6, but I don't know how to solve and sketch greater than

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Question 267126: Taking an on-line class and cannot find any examples of this in my book and I am at a loss. I can sketch graphs like 3x-2y =6, but I don't know how to solve and sketch greater than, less than, and greater than/less than equal to problems. Thank you.
Sketch the graph of 9 + 2y >= 5. (9 + 2 y greather than/equal to 5)

Answer by drk(1908) (Show Source):
You can put this solution on YOUR website!
Here are the general steps:
(1) solve for y.
* remember the negative 1 rule - if you multiply or divide by a negative, you reverse the inequality sign.
(2) if you see y > or y >= then shade up or away from you.
(3) if you see y < or y <= then shade down or toward you.
(4) If you see =, then draw a sold line
(5) if you do not see = , then draw a dashed (dotted) line.
That should help.
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Sketch the graph of 9x + 2y >= 5. (9x + 2 y greater than/equal to 5)
step 1 - solve for y as
y >= (-9/2)x + (5/2)
step 2 - slope = (-9/2), y intercept = (5/2). Plot y intercept and then create a second dot with the slope.
step 3 - draw solid line because =.
step 4 - shade up and away because of >.
looks like this