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solving a set of equations involving both inequalities and equalities

How to write a code in sage to find solutions of a set of equalities and inequalities in more than one variables.for example i want to find solutions for the equations $\sum_{1 \leq i \leq 5}x_i =10$ and $x_1 < x_2 < x_3 <x_4 <x_5$.<="" p="">

solving a set of equations involving both inequalities and equalities

How to write a code in sage to find solutions of a set of equalities and inequalities in more than one variables.for example i want to find solutions for the equations $\sum_{1 \leq i \leq 5}x_i =10$ and $x_1 $ x_1 < x_2 < x_3 <x_4 <x_5$.<="" <x_5="" $<="" p="">

solving a set of equations involving both inequalities and equalities

How to write a code in sage to find solutions of a set of equalities and inequalities in more than one variables.for example i want to find solutions for the equations $\sum_{1 \leq i \leq 5}x_i 3}x_i =10$ and $ , x_1 < x_2 < x_3 <x_4 <x_5="" $<="" p=""> .