I have a set of constants including linear and nonlinear equalities and inequalities. How can I obtain the the admissible values of each dimension (so-called feasible solution space) . Are there any built-in Mathematica functions that can solve these constraints together and find the feasible space?
For example, assume these constraints:
2 == x1 + x2 - x3 - x4/2 + x5; 0 == 4 x1 - 2 x2 + 8 x3/10 + 6 x4/10 + x5^2/2; (10 <= x1^2 + x2^2 + x3^2 + x4^2 + x5^2);
Also, how could I plot the solution space if the number of dimensions were less than three?