how to plot inequality and their intersection ?

Hi.

I want to plot these inequalities.

x+y>=4
8*x-4*y>=-16
x>=2
y<=9

how can I plot them (the lines where they bind) and the area which they contain? I want to find a solution with the intersection of those areas later.

I want to have something like this. with stripped areas representing the inequality areas, which can be colored in matlab.

Thank you so much

Answer 1

[Matt J]

The region prescribed by your inequalities is unbounded, so it is not clear what it means to "plot" it. If you really meant x<=2, then the region will be bounded and you can use lcon2vert (Download) as follows,

A=[-1 -1;  %inequalities in matrix/vector form
    -8 4;
    1 0;
    0 +1];

b=[-4;16;2;9];

plot( polyshape(lcon2vert(A,b)))