Graphing Inequalities with Open and Closed Dots

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does an open dot represent on a number line?

Back

An open dot indicates that the number at that point is not included in the solution set of the inequality.

Front

What does a closed dot represent on a number line?

Back

A closed dot indicates that the number at that point is included in the solution set of the inequality.

Front

When would you use an open dot?

Back

An open dot is used when the inequality is strict, meaning it uses 'greater than' (>) or 'less than' (<).

Front

When would you use a closed dot?

Back

A closed dot is used when the inequality is inclusive, meaning it uses 'greater than or equal to' (≥) or 'less than or equal to' (≤).

Front

What is the inequality for the open dot at -3?

Back

Front

What is the inequality for the closed dot at 5?

Back

Front

Back

Front

Back

Front

Back