Inequalities on the 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 > 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 ≤ 2 means x is less than or equal to 2.

Front

How do you represent the inequality x > -2 on a number line?

Back

You draw an open dot at -2 and shade to the right, indicating all numbers greater than -2.

Front

How do you represent the inequality x < -2 on a number line?

Back

You draw an open dot at -2 and shade to the left, indicating all numbers less than -2.

Front

How do you represent the inequality x ≥ 11 on a number line?

Back

You draw a filled dot at 11 and shade to the right, indicating all numbers greater than or equal to 11.

Front

How do you represent the inequality x ≤ 11 on a number line?

Back

You draw a filled dot at 11 and shade to the left, indicating all numbers less than or equal to 11.

Front

What type of dot is used for 'greater than' or 'less than' inequalities?

Back

An open dot is used for 'greater than' (>) or 'less than' (<) inequalities.