Graphing Inequalities on a Number Line

Front

What is an inequality?

Back

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

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you graph the inequality x > 5?

Back

You draw a number line, place an open circle at 5, and shade to the right.

Front

How do you graph the inequality x < 5?

Back

You draw a number line, place an open circle at 5, and shade to the left.

Front

What does an open circle represent on a number line?

Back

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

Front

What does a closed circle represent on a number line?

Back

A closed circle represents that the number is included in the solution (e.g., x ≥ 5 or x ≤ 5).

Front

Write the inequality for the graph with a closed circle at 5 and shading to the left.

Back

x ≤ 5