Systems of Linear Inequalities

Front

What is a system of linear inequalities?

Back

A set of two or more linear inequalities involving the same variables.

Front

How do you represent a linear inequality graphically?

Back

By shading the region that satisfies the inequality and using a solid line for ≤ or ≥, and a dashed line for < or >.

Front

What does the symbol '>' indicate in an inequality?

Back

It indicates that the value on the left is greater than the value on the right.

Front

What does the symbol '<' indicate in an inequality?

Back

It indicates that the value on the left is less than the value on the right.

Front

When graphing y > mx + b, what type of line is used?

Back

A dashed line is used to indicate that points on the line are not included in the solution.

Front

What is the solution set of a system of inequalities?

Back

The set of all points that satisfy all inequalities in the system.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality; if it satisfies all, it is a solution.

Front

What is the significance of the intersection of shaded regions in a graph of inequalities?

Back

It represents the solution set of the system of inequalities.

Front

What does the symbol '≤' mean in an inequality?

Back

It means that the value on the left is less than or equal to the value on the right.

Front

What does the symbol '≥' mean in an inequality?

Back

It means that the value on the left is greater than or equal to the value on the right.