Graphing Linear Inequalities and Lines

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 (like <, >, ≤, or ≥).

Front

What does a dashed line represent in graphing linear inequalities?

Back

A dashed line indicates that points on the line are not included in the solution set.

Front

What does a solid line represent in graphing linear inequalities?

Back

A solid line indicates that points on the line are included in the solution set.

Front

Is the point (3, 1) a solution for the inequality if it lies on a dashed line?

Back

No, because points on a dashed line are not part of the solution set.

Front

What does the shaded region in a graph of a linear inequality represent?

Back

The shaded region represents all the solutions to the inequality.

Front

How do you determine if a point is a solution to a linear inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the inequality symbol for 'greater than or equal to'?

Back

≥

Front

What is the inequality symbol for 'less than'?

Back

<

Front

What is the inequality symbol for 'greater than'?

Back

>

Front

What is the inequality symbol for 'less than or equal to'?

Back

≤