Intro to Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

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 ≥ 10 means x is greater than or equal to 10.

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 less than or equal to 4.

Front

How do you represent 'no more than 2 days left in September' as an inequality?

Back

x ≤ 2.

Front

If x > 45, how would you represent this on a number line?

Back

You would use an open circle at 45 and shade to the right, indicating that 45 is not included.

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 set.

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the number is included in the solution set.

Front

How would you write the inequality for 'a student must be at least 16 years old'?

Back

x ≥ 16.