Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '<' mean?

Back

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

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 3 means x is less than or equal to 3.

Front

What does the symbol '≥' mean?

Back

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

Front

How do you graph the inequality x < 3?

Back

You graph x < 3 with an open dot at 3 and a line extending to the left.

Front

How do you graph the inequality x > 3?

Back

You graph x > 3 with an open dot at 3 and a line extending to the right.

Front

What does an open dot represent in graphing inequalities?

Back

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

Front

What does a closed dot represent in graphing inequalities?

Back

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

Front

If h ≥ 48, what does this mean in terms of height?

Back

It means that the height h is at least 48 inches or greater.