Writing and Graphing Inequalities

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, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

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

Front

What does the symbol '<' represent in inequalities?

Back

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

Front

What does the symbol '≥' represent in inequalities?

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 '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 20 means x is less than or equal to 20.

Front

How do you graph the inequality x > 4 on a number line?

Back

Draw a number line, place an open circle on 4, and shade to the right to indicate all numbers greater than 4.

Front

How do you graph the inequality x ≤ -2 on a number line?

Back

Draw a number line, place a closed circle on -2, and shade to the left to indicate all numbers less than or equal to -2.

Front

What is the solution set for the inequality x < 7?

Back

The solution set includes all real numbers less than 7.

Front

If a student must be at least 15 years old to obtain a driver’s permit, what inequality represents this situation?

Back

The inequality is a ≥ 15.

Front

If a person must be no more than 12 years old to order from the kid's menu, what inequality represents this situation?

Back

The inequality is k ≤ 12.