Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

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, y < 10 means y is less than 10.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, z ≥ 3 means z is greater than or equal to 3.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, a ≤ 7 means a is less than or equal to 7.

Front

How do you represent 'at least' in an inequality?

Back

'At least' is represented by using the '≥' symbol. For example, 'at least 4' is written as x ≥ 4.

Front

How do you represent 'at most' in an inequality?

Back

'At most' is represented by using the '≤' symbol. For example, 'at most 10' is written as y ≤ 10.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that make the inequality true.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means to represent the solution set on a number line, using open or closed circles to indicate whether endpoints are included.

Front

What does an open circle represent on a number line?

Back

An open circle represents that the endpoint is not included in the solution set (e.g., x < 3).