Writing and Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as >, <, ≥, or ≤.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 10 means x is greater than or equal to 10.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 5 means y is less than or equal to 5.

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 ≤ 4?

Back

To graph x ≤ 4, draw a number line, place a closed circle on 4, and shade to the left.

Front

What is the solution to the inequality x + 5 > 10?

Back

The solution is x > 5.

Front

How do you write the inequality for 'a number is at least 7'?

Back

The inequality is x ≥ 7.

Front

What is the inequality that represents 'a number is less than 12'?

Back

The inequality is x < 12.