Graphing Inequalities

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'. For example, 6 > 3 means 6 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 5 means 2 is less than 5.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 7 means y is less than or equal to 7.

Front

How do you graph the inequality x > 3?

Back

To graph x > 3, draw a number line, place an open circle on 3, and shade to the right.

Front

How do you graph the inequality x < 5?

Back

To graph x < 5, draw a number line, place an open circle on 5, and shade to the left.

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 > 3).

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 ≥ 4).

Front

How do you graph the inequality r ≥ -6?

Back

To graph r ≥ -6, draw a number line, place a closed circle on -6, and shade to the right.