Systems of Linear Inequalities

Front

What is a system of linear inequalities?

Back

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

Front

What does it mean if an inequality has a solid line when graphed?

Back

It means the inequality includes the boundary line, indicated by '≤' or '≥'.

Front

What does it mean if an inequality has a dotted line when graphed?

Back

It means the inequality does not include the boundary line, indicated by '<' or '>'.

Front

How can 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 graphical representation of the inequality y > 2x - 4?

Back

A region above the line y = 2x - 4, with a dotted line.

Front

What is the graphical representation of the inequality y < 2?

Back

A horizontal line at y = 2, with a region below the line.

Front

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

Back

It indicates that the value is greater than or equal to a certain number.

Front

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

Back

It indicates that the value is less than a certain number.

Front

How do you graph the system of inequalities y < 2x - 4 and y < 2?

Back

Graph both inequalities and shade the region where they overlap.

Front

What is the solution set of a system of linear inequalities?

Back

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