Systems of Linear Inequalities

Front

What does a solid line indicate when graphing an inequality?

Back

A solid line indicates that the inequality includes the boundary line, meaning the symbol has 'or equal to' (≤ or ≥).

Front

What does a dotted line indicate when graphing an inequality?

Back

A dotted line indicates that the inequality does not include the boundary line, meaning the symbol is either < or >.

Front

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

Back

A point is a solution if it satisfies all inequalities in the system.

Front

What is the graphical representation of the inequality y > 2x - 4?

Back

The graph will have a dotted line for y = 2x - 4 and the area above the line shaded.

Front

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

Back

The graph will have a solid line for y = 2 and the area below the line shaded.

Front

What is a system of linear inequalities?

Back

A system of linear inequalities is a set of two or more inequalities with the same variables.

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

It means that the point satisfies all inequalities in the system.

Front

How can you tell if a point (x,y) is not a solution to a system of inequalities?

Back

If the point does not satisfy at least one of the inequalities in the system, it is not a solution.

Front

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

Back

The intersection represents the set of solutions that satisfy all inequalities in the system.

Front

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

Back

The first step is to graph each inequality as if it were an equation.