Graphing 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 'less than'. For example, x < 3 means x is any number less than 3.

Front

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

Back

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

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x can be any number less than or equal to 4.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x can be any number greater than or equal to 2.

Front

How do you represent 'x is less than 3' on a number line?

Back

You would draw an open circle at 3 and shade to the left.

Front

How do you represent 'x is greater than or equal to 5' on a number line?

Back

You would draw a closed circle at 5 and shade to the right.

Front

What type of circle is used for 'x < 6'?

Back

An open circle is used for 'x < 6'.

Front

What type of circle is used for 'x ≥ 4'?

Back

A closed circle is used for 'x ≥ 4'.

Front

How would you graph the inequality 's > 20'?

Back

You would draw an open circle at 20 and shade to the right.