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 '>' mean in inequalities?

Back

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

Front

What does the symbol '<' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean 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 '≤' mean 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 represent 'no more than' in an inequality?

Back

'No more than' is represented by the symbol '≤'. For example, 'no more than 24' is written as x ≤ 24.

Front

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

Back

'More than' is represented by the symbol '>'. For example, 'more than 4,200' is written as x > 4,200.

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 inequality for 'at least 30 minutes'?

Back

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

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.