Solving Graphing Inequalities on Number Lines

Front

What is an inequality?

Back

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

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 10 means x is less than or equal to 10.

Front

How do you represent 'at least' in an inequality?

Back

'At least' is represented by the symbol '≥'. For example, 'at least 6 hours' is written as x ≥ 6.

Front

How do you represent 'no more than' in an inequality?

Back

'No more than' is represented by the symbol '≤'. For example, 'no more than 12 years old' is written as x ≤ 12.

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the number is included in the solution, representing 'greater than or equal to' or 'less than or equal to'.

Front

What does an open circle on a number line indicate?

Back

An open circle indicates that the number is not included in the solution, representing 'greater than' or 'less than'.

Front

How do you graph the inequality x > 5 on a number line?

Back

Draw an open circle at 5 and shade to the right to indicate all numbers greater than 5.