What does a system of inequalities consist of?

A system of inequalities is made up of two or more inequalities that involve one or more variables. These inequalities can represent constraints or conditions that the variables must satisfy simultaneously. In this context, having multiple inequalities allows us to explore the feasibility of various solutions within a multidimensional space, where each inequality delineates a boundary that solutions must lie within.

For instance, consider a system of inequalities involving two variables, such as (y > 2x + 1) and (y < -x + 3). Each inequality describes a half-plane on a graph, and the solution to the system consists of the region where these two half-planes overlap. This concept is essential in fields like optimization and linear programming, where decision-making relies on understanding the constraints that affect outcomes.

The other options are not consistent with the definition of a system of inequalities. A set of equations or a single inequality would not encompass the iterative relationships and constraints necessary to define a system. Therefore, the correct choice emphasizes the need for multiple inequalities in the context of a system.