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, x < 5 means x is less than 5.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 5 means x is less than or equal to 5.

Front

How do you graph the inequality x > 5?

Back

You graph x > 5 with an open circle at 5 and a line extending to the right.

Front

How do you graph the inequality x < 5?

Back

You graph x < 5 with an open circle at 5 and a line extending to the left.

Front

What does an open circle represent in graphing inequalities?

Back

An open circle represents that the number is not included in the solution set.

Front

What does a closed circle represent in graphing inequalities?

Back

A closed circle represents that the number is included in the solution set.

Front

What is the solution set of the inequality x ≥ 3?

Back

The solution set includes all numbers greater than or equal to 3.