SOLUTION: Solve the following system of linear inequalities by graphing. x + 2y < 3 2x – 3y < 6

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Question 84277: Solve the following system of linear inequalities by graphing.
x + 2y < 3
2x – 3y < 6

Answer by sofiyacherni(99)   (Show Source): You can put this solution on YOUR website!
get y on the right side
y<3/2-x/2
y>-2+2x/3
now to find points for first line pretend x=0, put it in then you get y=3/2, ignore inequalities for now. then say x=1 then y = 1
graph a line from those two points, this will be your read line
same for second equation, say x=0 then y=-2 say x= 6 then y =2
graph a line from those two points, this will be your green line

you aren't done yet :) now you have to look at inequalities, for the red line y is less than, so the solution lies below red line (shade averything below red line), also for green line y is more than so everything above green line (shade everything above green line). Now where the shading overlaps, that's the solution :)
PS make sure you draw your lines like this - - - - not a solid line. If your equation was
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