WU Identify Solutions to Systems of Inequalities

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Front

What does the double shaded region represent in a system of inequalities?

Back

The double shaded region represents the solution set where all inequalities in the system are satisfied.

Front

What does it mean if an ordered pair is in the unshaded region of a graph of inequalities?

Back

If an ordered pair is in the unshaded region, it does not satisfy at least one of the inequalities in the system.

Front

What is the significance of a solid line in the graph of an inequality?

Back

A solid line indicates that the points on the line are included in the solution set of the inequality.

Front

What does a dashed line indicate in the graph of an inequality?

Back

A dashed line indicates that the points on the line are not included in the solution set of the inequality.

Front

How can you determine if an ordered pair is a solution to a system of inequalities?

Back

An ordered pair is a solution if it lies in the double shaded region of the graph, satisfying all inequalities.

Front

What is the first step in solving a system of inequalities graphically?

Back

The first step is to graph each inequality on the same coordinate plane.

Front

What does it mean for an ordered pair to lie on a solid line in a system of inequalities?

Back

If an ordered pair lies on a solid line, it is considered a solution to the inequality represented by that line.

Front

Why is (4, 6) not a solution to the system of inequalities if it is only in the shaded region of one inequality?

Back

(4, 6) is not a solution because it does not satisfy all inequalities in the system.

Front

What is the importance of identifying the common shaded region in a system of inequalities?

Back

The common shaded region represents the set of solutions that satisfy all inequalities in the system.