Solving 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 the symbol '≤' mean in an inequality?

Back

It means 'less than or equal to'.

Front

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

Back

It means 'greater than or equal to'.

Front

When do you use a solid line when graphing inequalities?

Back

You use a solid line for inequalities with '≤' or '≥'.

Front

When do you use a dashed line when graphing inequalities?

Back

You use a dashed line for inequalities with '<' or '>'.

Front

What is the solution to a system of linear inequalities?

Back

It is 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 does the graph of a linear inequality represent?

Back

It represents all the solutions to that inequality.

Front

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

Back

It represents the solutions that satisfy both inequalities.

Front

What is the first step in graphing a system of linear inequalities?

Back

Graph each inequality as if it were an equation.