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 ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 10 means y is less than or equal to 10.

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 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 on 4, and shade to the right to indicate all numbers greater than or equal to 4.

Front

What is the solution set of the inequality x > 7?

Back

The solution set of x > 7 includes all real numbers greater than 7.

Front

Is the statement -5 > -8 true or false?

Back

True. -5 is greater than -8.

Front

What is the inequality for 'a number is less than 12'?

Back

The inequality is x < 12.