Question

Graph the system of inequalities. Show by shading in the feasible region 4x+y <2 , y> - 2

Answer 1

like a first step

4x+y<2 => y < -4x+2
y>-2

do you can continue it ?

Answer 2

first draw the line 4x+y=2
when x=0,y=2
when y=-2,4x=2+2=4,x=1
so draw a line through (0,2) and (1,-2)
put x=0,y=0 in 4x+y<2
0+0<2,
0<2
which is true.
Hence (0,0) lies on the graph.
y>-2
put (0,0) in it.
0>-2
hence (0,0) lies on the graph.
draw the line y=-2

Answer 3

http://openstudy.com/study#/updates/58288f0ee4b038c47dd29987