ResourceMAP - Systems of Inequalities - Student Edition

ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular classes as well as in special test-preparation settings. Each module contains a set of contextual problems in several formats: multi-part open response, short response, and multiple-choice. Accompanying the problem set are tip sheets that serve several purposes including lists of formulas, calculator instruction, and brief reviews of the module's underlying mathematics. Also provided are teacher notes (the module purpose, the mathematical focus, and implementation commentary), answers to all problems, and (in a few cases) handout masters.

Systems of Inequalities

An equation is a mathematical statement that two quantities are equal. But an
inequality states that one quantity is greater than or less than another. Inequalities
are often used to describe upper or lower limits.

A two-dimensional graph can be used to show a relationship between two variables.
The graph of a linear equation involving either or both of the variables is a straight
line. But the graph of a linear inequality involving either or both of the variables is
a region that has a straight line for a boundary.

A system of inequalities is a group of inequalities with common variables. The
solution of a two-variable system can have many pairs of values. Each pair is
represented by a point in the solution region. Each inequality in the system is true
for each pair in the solution.