Systems of Inequalities

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables that are solved together.

Front

What does the symbol '>' represent in inequalities?

Back

It represents 'greater than'.

Front

What does the symbol '≥' represent in inequalities?

Back

It represents 'greater than or equal to'.

Front

What does the symbol '<' represent in inequalities?

Back

It represents 'less than'.

Front

What does the symbol '≤' represent in inequalities?

Back

It represents 'less than or equal to'.

Front

How do you graph a linear inequality?

Back

1. Graph the boundary line as if it were an equation. 2. Use a dashed line for '<' or '>' and a solid line for '≤' or '≥'. 3. Shade the appropriate region.

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

Back

Substitute the point's coordinates into each inequality. If it satisfies all inequalities, it is a solution.

Front

What is the significance of the boundary line in a graph of inequalities?

Back

It separates the solution region from the non-solution region.

Front

What does it mean if a point lies on a dashed boundary line?

Back

The point is not included in the solution set for inequalities using '<' or '>'.