SOLUTION: I am trying to work this problem out...keep running into the wall...could please explain...the less and greater than sign has a line underneath. solve the following sytem of lin

Click here to see ALL problems on Graphs

Question 70071: I am trying to work this problem out...keep running into the wall...could please explain...the less and greater than sign has a line underneath.
solve the following sytem of linear inequalities by graphing.
x+2y<3
2x-3y<6
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
solve the following system of linear inequalities by graphing.
x+2y<=3
2x-3y<=6
-----------------------
Solve each for y as follows:
y<=(-1/2)x+(3/2)
y>=(2/3)x-2
-------------------
Graph the EQUALITIES involved as they are the boundary of the solution sets
y=(-1/2)x+(3/2) passes thru (0,3/2) and (2,1/2); graph it and shade half-plane
below the equality line.
--------
y=(2/3)x-2 passes thru (0,-2) and (3,0); graph it and shade half-plane above
the equality line.
--------
The solution set is all the points that satisfy both conditions for "y".
The equality lines look like this:

Cheers,
Stan H.