Writing & Graphing Inequalities

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?

Back

The symbol '>' means 'greater than'. For example, m > 5 means m is greater than 5.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, n < 10 means n is less than 10.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 3 means x is greater than or equal to 3.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 8 means y is less than or equal to 8.

Front

How do you graph the inequality x > 4?

Back

To graph x > 4, draw a number line, place an open circle on 4, and shade to the right.

Front

How do you graph the inequality x < -2?

Back

To graph x < -2, draw a number line, place an open circle on -2, and shade to the left.

Front

What does it mean if an inequality has an open circle on a number line?

Back

An open circle indicates that the number is not included in the solution (e.g., x < 3 means 3 is not included).

Front

What does it mean if an inequality has a closed circle on a number line?

Back

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

Front

If m > 17, which of the following is a possible value for m? 12, 10, 23, 7

Back

23 is a possible value for m.