Write and Graph 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 < 3 means x is less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

When graphing the inequality x > 45, what type of circle is used?

Back

An open circle is used when graphing x > 45.

Front

When graphing the inequality y ≥ 4, what type of dot is used?

Back

A closed dot is used when graphing y ≥ 4.

Front

What does a closed dot on a number line indicate?

Back

A closed dot indicates that the number is included in the solution set (e.g., x ≤ 3 or x ≥ 3).

Front

What does an open dot on a number line indicate?

Back

An open dot indicates that the number is not included in the solution set (e.g., x < 5 or x > 5).

Front

How do you represent the inequality x ≥ -5 on a number line?

Back

You would use a closed dot at -5 and shade to the right.