Question 548571
-x + 2y less than and equal to -6
3x + 2y > -1

{{{-x + 2y <= -6}}}

{{{2y<=x-6}}}

{{{y<=(1/2)x-3

The boundary
y=(1/2)x-3
x=0,y=-3
x=6,y=0

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3x + 2y > -1
{{{2y>-3x-1}}}
{{{y>(-3/2)x-1/2}}}

The boundary 
x=0,y=-1/2
x=-1/3,y=0
The boundaries

{{{drawing(300,300,-10,10,-10,10,circle(0,-3,0.3),circle(6,0,0.3),circle(0,-1/2,0.3),circle(-1/3,0,0.3),graph(300,300,-10,10,-10,10,y=(1/2)x-3,y=(-3/2)x-1/2))}}}

The inequality

{{{drawing(300,300,-10,10,-10,10,circle(0,-3,0.3),circle(6,0,0.3),circle(0,-1/2,0.3),circle(-1/3,0,0.3),graph(300,300,-10,10,-10,10,y<=(1/2)x-3,y>(-3/2)x-1/2))}}}





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