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, k < 3 means k is less than 3.

Front

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

Back

The symbol '>' means 'greater than'. For example, a > 11 means a is greater than 11.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 20 means x is less than or equal to 20.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, a ≥ 11 means a is greater than or equal to 11.

Front

When graphing the inequality k < 3, what type of circle is used?

Back

An open circle is used when graphing k < 3 to indicate that 3 is not included in the solution.

Front

When graphing the inequality a ≥ 11, what type of circle is used?

Back

A closed circle is used when graphing a ≥ 11 to indicate that 11 is included in the solution.

Front

How do you represent 'no more than 20 dollars' in an inequality?

Back

You represent it as x ≤ 20, meaning x can be 20 or less.

Front

What is the graph of the inequality b < 6?

Back

The graph of b < 6 is a number line with an open circle at 6 and shading to the left.

Front

What is the graph of the inequality a > 11?

Back

The graph of a > 11 is a number line with an open circle at 11 and shading to the right.