# Non-Linear to Linear with Auxiliary Binary Variables

The Problem:

Formulate the constraint $$u = \min\,\{x_1, x_2\}$$ with linear constraints and binary variables. We assume that $$0 \leq x_i \leq 10$$ for $$i = 1, 2$$. Specify the value of every big-M parameter in your constraints. Hint: transform the constraint into equivalent disjunctive constraints.

I feel like I understand the approach for the general form of the program but not how to get the big M value constraints.

Any help?