2.1 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 ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' represent in inequalities?

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 'at least' in an inequality?

Back

'At least' is represented by the symbol '≥'. For example, 'at least 30' is written as x ≥ 30.

Front

How do you represent 'less than' in an inequality?

Back

'Less than' is represented by the symbol '<'. For example, 'less than 50' is written as x < 50.

Front

What is the solution set of the inequality x < 10?

Back

The solution set includes all real numbers less than 10.

Front

How do you graph the inequality x ≥ 3 on a number line?

Back

Draw a closed circle on 3 and shade to the right to indicate all numbers greater than or equal to 3.

Front

What is the solution to the inequality m < 25?

Back

Any number less than 25 is a solution, such as m = 24.