SOLUTION: solve the following system of linear inequalities by graphing x 3x-y<2, x+y>2

Algebra ->  Linear-equations -> SOLUTION: solve the following system of linear inequalities by graphing x 3x-y<2, x+y>2      Log On


   



Question 137053: solve the following system of linear inequalities by graphing x
3x-y<2, x+y>2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve the following system of linear inequalities by graphing x
3x-y<2, x+y>2
--------------------
Solve each for "y":
y >3x-2
y>-x+2
-----------------
Graph the boundaries of each of the inequalitiesas dashed lined:
y = 3x-2
y=-x+2
------------------
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C3x-2%2C-x%2B2%29
--------------------
Shade the half-plane above y = 3x-2
Shade the half-plane above -x+2
--------------------
The solution of the system is the intersection of those two half-planes.
Comment: I cannot show you that intersection on this site.
============================
Cheers,
Stan H.