Graphing Inequalities on a 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 in an inequality?

Back

The symbol '>' means 'greater than'.

Front

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

Back

The symbol '<' means 'less than'.

Front

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

Back

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

Front

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

Back

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

Front

How do you represent 'x is greater than 5' as an inequality?

Back

x > 5

Front

How do you represent 'x is less than or equal to 10' as an inequality?

Back

x ≤ 10

Front

What does an open circle on a number line indicate?

Back

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

Front

What does a closed circle on a number line indicate?

Back

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

Front

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

Back

Draw an open circle at 3 and shade to the left.