Graphing Inequalities on the Number Line

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?

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 > 5 means x is greater than 5.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to.' For example, x ≤ 4 means x is less than or equal to 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to.' For example, x ≥ -2 means x is greater than or equal to -2.

Front

How do you graph the inequality x < 3 on a number line?

Back

Draw a number line, place an open circle at 3, and shade to the left to indicate all numbers less than 3.

Front

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

Back

Draw a number line, place a closed circle at 5, and shade to the right to indicate all numbers greater than or equal to 5.

Front

What does the graph with an open circle at -4 and shading to the left represent?

Back

The graph represents the inequality x < -4.

Front

What does the graph with a closed circle at 5 and shading to the right represent?

Back

The graph represents the inequality x ≥ 5.

Front

How would you write the inequality for a graph that shows all numbers less than or equal to -2?

Back

The inequality is b ≤ -2.