A system of linear inequalities is a set of equations of the form f(x) < 0, where f(x) is a function depending on several variables. For the inequalities to be linear, there cannot be any terms in the equations in which variables multiply or divide other variables
Systems of linear inequalities must be solved simultaneously and lead to a set of variable values that satisfies all of the inequalities at once. When the numbers of variables and inequalities are equal, the system is guaranteed to have a unique solution, if a solution exists. If there are fewer variables than inequalities, the system may not have a solution. If there are more variables than inequalities, the system will have an infinite number of solutions.