Graphing Inequalities on a Number Line

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 5 means x is any number less than 5.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is any number greater than or equal to 2.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is any number less than or equal to 4.

Front

How do you represent the inequality b ≤ -2 on a number line?

Back

You draw a closed circle on -2 and shade to the left, indicating all numbers less than or equal to -2.

Front

How do you represent the inequality r ≥ -6 on a number line?

Back

You draw a closed circle on -6 and shade to the right, indicating all numbers greater than or equal to -6.

Front

What does an open circle represent on a number line?

Back

An open circle represents that the number is not included in the solution set. For example, x < 3 is represented with an open circle at 3.

Front

What does a closed circle represent on a number line?

Back

A closed circle represents that the number is included in the solution set. For example, x ≤ 4 is represented with a closed circle at 4.

Front

When graphing x < 3, what type of circle is used?

Back

An open circle is used when graphing x < 3.