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

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

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
RELATED QUESTIONS
Solve the following system of linear inequalities by graphing. {{{x + 2y <= 3}}}... (answered by jim_thompson5910)

Solve the following system of linear inequalities by graphing: x + 2y <= 3 2x � 3y <=... (answered by jim_thompson5910)

Solve the following system of linear inequalities by graphing. x+2y<3... (answered by elima)

Solve the following system of linear inequalities by graphing x+2y � 3 2x-3y � 6 (answered by Fombitz)

Solve the following system of linear inequalities by graphing. x + 2y =3 2x � 3y = 6 (answered by jim_thompson5910)

Solve for the following system of linear inequalities by graphing. x+2y<3 and... (answered by jim_thompson5910)

Solve the following system of linear inequalities by graphing. x + 2y = 3 2x � 3y = 6 (answered by elima)

Solve the following ststem of linear inequalities by graphing x+2y<3... (answered by stanbon)

1. Solve the following system of linear inequalities by graphing. x + 2y <= 3 2x �... (answered by longjonsilver)