Writing and 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 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '>' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, a ≥ 0 means a is greater than or equal to 0.

Front

How do you graph the inequality k < 3?

Back

To graph k < 3, draw a number line, place an open circle at 3, and shade to the left.

Front

How do you graph the inequality b > 1/2?

Back

To graph b > 1/2, draw a number line, place an open circle at 1/2, and shade to the right.

Front

How do you graph the inequality r ≥ -6?

Back

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

Front

What does the inequality c > 250 represent?

Back

The inequality c > 250 means that c must be greater than 250.

Front

What does the inequality c ≥ 25 represent?

Back

The inequality c ≥ 25 means that c must be at least 25 or more.