SOLUTION: Please help me solve this: Graph the following system of inequalities on the graph, find the corner points, and label on the graph. x+y>=14 2x+y>=20 x+3y>=24 x>=0 y>=0 I

Algebra ->  Inequalities -> SOLUTION: Please help me solve this: Graph the following system of inequalities on the graph, find the corner points, and label on the graph. x+y>=14 2x+y>=20 x+3y>=24 x>=0 y>=0 I      Log On


   



Question 173735: Please help me solve this:
Graph the following system of inequalities on the graph, find the corner points, and label on the graph.
x+y>=14
2x+y>=20
x+3y>=24
x>=0
y>=0
I'm having trouble graphing on this site.my answer was:
(0,8) (10,0)
Thanks
freedom45

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the following system of inequalities on the graph, find the corner points, and label on the graph.
x+y>=14
2x+y>=20
x+3y>=24
x>=0
y>=0
I'm having trouble graphing on this site.my answer was:
(0,8) (10,0)
------------------
Graph the boundary lines:
x = 0
Shade the half-plane to the right.
---------------
y = 0
Shade the half-plane above.
------------------------
y = (-1/3)x + 8
Shade the half-plane above the line.
---------------------
y = -2x + 20
Shade the half-plane above the line.
y = -x+ 14
Shade the half-plane above the line.
-----------------------------
graph%28400%2C300%2C-10%2C35%2C-10%2C25%2C%28-1%2F3%29x%2B8%2C-2x%2B20%2C-x%2B14%29
------------------------------
Find the vertices of the intersection of the half-planes.
============================================================
Cheers,
Stan H.