Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or exactly equal to another value.

Front

How do you represent 'no more than 20 dollars' in inequality form?

Back

This can be represented as x ≤ 20.

Front

How do you represent 'at least 20 minutes' in inequality form?

Back

This can be represented as x ≥ 20.

Front

Back

Front

Back

Front

Back

It represents that x can be any value from 0 to 3, including 0 but not including 3.

Front

What is the difference between a closed dot and an open dot on a graph?

Back

A closed dot indicates that the endpoint is included (≤ or ≥), while an open dot indicates that the endpoint is not included (< or >).

Front

Back

You would use an open dot at 2 and shade to the right.