How do I plot the intersection of two inequalities?

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Gustavo Crispim
Gustavo Crispim 2020-9-17
评论： Mathieu NOE 2023-12-11
I have these two inequalities and I wanna have something like the graph:
I used this code to get this graph, and rotate the axis to show only the xy-plane, but I wanted to represent this area using only the two inequalities.
[x1,x2] = meshgrid(-10:0.02:10,-10:0.02:10);
z = x2 - 8./x1;
cond1 = x1./5 - x2 >= 0;
cond2 = 16 - (x1-5).^2 - x2.^2 >= 0;
cond = cond1.*cond2; z(cond == 0) = NaN;
mesh(x1, x2, z);

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回答（2 个）

Mathieu NOE
Mathieu NOE 2023-10-10
Ran in:
try this :
[x1,x2] = meshgrid(-10:0.02:10,-10:0.02:10);
z = x2 - 8./x1;
cond1 = x1./5 - x2 >= 0;
cond2 = 16 - (x1-5).^2 - x2.^2 >= 0;
cond = cond1.*cond2; z(cond == 0) = NaN;
surf(x1, x2,0*z, z);
shading interp
view(2)
Ayush Modi
Ayush Modi 2023-10-10
Hi Gustavo,
As per my understanding, you would like to see the area covered by both the inequalities.
Here is an example showing how you can implement the same:
inq1 = ((1/5)*X) - Y >= 0;
inq2 = 16 - (X-5).^2 - Y.^2 >=0;
% Combine the inequalities
% area = inequality1 & inequality2;
area = inq1 & inq2;
% Create a figure and plot the area
figure;
fill(X(area), Y(area),'b');
Hope this helps!

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