Intro to Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

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 12 years old' in inequality form?

Back

x ≤ 12

Front

How do you represent 'at least 35 miles per hour' in inequality form?

Back

x ≥ 35

Front

What is the graph representation of the inequality x < 5?

Back

The graph will have an open circle at 5 and a line extending to the left.

Front

What is the graph representation of the inequality x ≤ 10?

Back

The graph will have a closed circle at 10 and a line extending to the left.

Front

If x > 45, what type of circle is used on the graph?

Back

An open circle is used.

Front

If x ≤ 20, what type of circle is used on the graph?

Back

A closed circle is used.

Front

What does the inequality x < 2 represent in a real-world context?

Back

It can represent a situation where a quantity is limited to being less than 2, such as having less than 2 days left in a month.