Inequalities on a Number Line

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?

Back

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

Front

What does the symbol '<' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 5 means x is less than or equal to 5.

Front

How do you represent 'x is less than or equal to 5' on a number line?

Back

You draw a closed circle on 5 and shade to the left.

Front

How do you represent 'x is greater than 5' on a number line?

Back

You draw an open circle on 5 and shade to the right.

Front

How do you represent 'x is greater than or equal to 0' on a number line?

Back

You draw a closed circle on 0 and shade to the right.

Front

How do you represent 'x is less than -3' on a number line?

Back

You draw an open circle on -3 and shade to the left.

Front

What is the solution set for the inequality x < 2?

Back

The solution set includes all numbers less than 2.