Graphing Linear Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (e.g., <, >, ≤, ≥).

Front

What does the boundary line represent in a graph of a linear inequality?

Back

The boundary line represents the points where the linear expression equals the value. It divides the graph into two regions.

Front

Are points on a solid boundary line included in the solution set?

Back

Yes, points on a solid boundary line are included in the solution set.

Front

Are points on a dashed boundary line included in the solution set?

Back

No, points on a dashed boundary line are NOT included in the solution set.

Front

How do you determine which side of the boundary line to shade?

Back

You can test a point not on the line (usually (0,0)) in the inequality. If the inequality holds true, shade the side containing that point.

Front

What does the inequality symbol '>' indicate about the graph?

Back

The '>' symbol indicates that the region above the boundary line should be shaded.

Front

What does the inequality symbol '<' indicate about the graph?

Back

The '<' symbol indicates that the region below the boundary line should be shaded.

Front

What type of line is used for the inequality y ≥ 3x + 1?

Back

A solid line is used for the inequality y ≥ 3x + 1.

Front

What type of line is used for the inequality y < -2x + 4?

Back

A dashed line is used for the inequality y < -2x + 4.

Front

If the inequality is y > 2x - 5, where do you shade?

Back

You shade above the line y = 2x - 5.