Graphing Inequalities on a Number Line Graph

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '<' represent?

Back

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

Front

What does the symbol '>' represent?

Back

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

Front

What does the symbol '≤' represent?

Back

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

Front

What does the symbol '≥' represent?

Back

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

Front

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

Back

You draw an open circle at 3 and shade to the left, indicating all numbers less than 3.

Front

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

Back

You draw a closed circle at -5 and shade to the right, indicating all numbers greater than or equal to -5.

Front

What is the difference between an open circle and a closed circle on a number line?

Back

An open circle indicates that the number is not included (e.g., x < 3), while a closed circle indicates that the number is included (e.g., x ≥ 3).

Front

If x < 8, which of the following could be a value of x? 8.6, 7.9, 5.9

Back

7.9 and 5.9 are valid values for x because they are less than 8.

Front

What inequality does the number line graph with a closed circle at -2 and shading to the left represent?

Back

The inequality is b ≤ -2.