Inequalities

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'is less than or equal to.'

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'is greater than or equal to.'

Front

What does the phrase 'is no more than' indicate in terms of inequalities?

Back

The phrase 'is no more than' indicates that a value is less than or equal to a certain number, represented by the symbol '≤.'

Front

How do you graph the inequality 'x ≤ 3'?

Back

To graph 'x ≤ 3', draw a number line, place a closed circle on 3, and shade to the left to indicate all values less than or equal to 3.

Front

What is the difference between 'less than' and 'less than or equal to'?

Back

'Less than' is represented by '<' and does not include the endpoint, while 'less than or equal to' is represented by '≤' and includes the endpoint.

Front

How do you graph the inequality 'x ≥ 2'?

Back

To graph 'x ≥ 2', draw a number line, place a closed circle on 2, and shade to the right to indicate all values greater than or equal to 2.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'is less than.'

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'is greater than.'

Front

What is the significance of using a closed circle in graphing inequalities?

Back

A closed circle indicates that the number is included in the solution set, meaning the inequality is 'less than or equal to' or 'greater than or equal to.'

Front

What is the significance of using an open circle in graphing inequalities?

Back

An open circle indicates that the number is not included in the solution set, meaning the inequality is 'less than' or 'greater than' without equality.