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# What are systems of linear inequalities?

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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

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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.

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