Graphing Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What does the symbol '≥' mean in inequalities?

Back

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

Front

What does the symbol '≤' mean in inequalities?

Back

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

Front

How do you graph the inequality x < 3?

Back

To graph x < 3, 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 ≥ 4?

Back

To graph x ≥ 4, draw a number line, place a closed circle at 4, and shade to the right to indicate all numbers greater than or equal to 4.

Front

What is the difference between open and closed circles in graphing inequalities?

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

What does the inequality x > 4 represent on a number line?

Back

The inequality x > 4 represents all numbers greater than 4, graphed with an open circle at 4 and shading to the right.

Front

How do you write an inequality for a graph that shows all numbers less than or equal to 6?

Back

The inequality for this graph is x ≤ 6.