SOLUTION: I am having problems understanding how to graph the inequality for the following problem. xis greater than or equal to -2y and x-3y<6. I have to graph the compound inequality but

Question 68985: I am having problems understanding how to graph the inequality for the following problem. xis greater than or equal to -2y and x-3y<6. I have to graph the compound inequality but i don't understand this.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I am having problems understanding how to graph the inequality for the following problem. xis greater than or equal to -2y and x-3y<6. I have to graph the compound inequality but i don't understand this.
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x >=-2y
x-3y<6
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Solve each for y as follows:
y>= -(1/2)x
y>(1/3)x-2
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Graph the EQUALITY of eqch equation:
y=(-1/2)x
Use points (0,0) and (2,-1)
Draw a solid line thru these points.
Shade the half-plane ABOVE the line to graph y>-(1/2)x
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Graph the EQUALITY of the 2nd equation:
y=(1/3)x-2
Use points (0,-2) and (3,-1)
Draw a dashed or dotted line thru these points.
Shade the half-plane ABOVE the dotted line to graph y>(1/3)x-2

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Cheers,
Stan H.
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