how to plot 3d inequalities on matlab

Question

I want to plot a 3d region in MATLAB bounded from a set of inequalities.

For example:

0 <= x <= 1

sqrt(x) <= y <= 1

0 <= z <= 1          


        

Answer 1

I don't understand several things in the code that you wrote as modification of @Tobold's help. For example what are the parameters p1 and p2 doing in your code?

Anyway, The code plotting only the points of your grid satisfying all of your inequalities;

[X,Y,Z]=meshgrid(0:0.1:1,0:0.1:1,0:0.1:1);
ineq1 = (X >= 0 & X <= 1);
ineq2 = (Y >= sqrt(X) & Y <= 1);
ineq3 = (Z >= 0 & Z <= 1 - Y);
all = ineq1 & ineq2 & ineq3;
scatter3(X(all),Y(all),Z(all),'b','filled')

The result is brought in the following image.