simple inequalities

Front

What is a simple inequality?

Back

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

Front

What does an open circle represent on a number line?

Back

An open circle indicates that the number is not included in the solution set of the inequality.

Front

What does a closed circle represent on a number line?

Back

A closed circle indicates that the number is included in the solution set of the inequality.

Front

How do you graph the inequality x < 4?

Back

You place an open circle on 4 and shade to the left to indicate all numbers less than 4.

Front

How do you graph the inequality x ≥ -2?

Back

You place a closed circle on -2 and shade to the right to indicate all numbers greater than or equal to -2.

Front

What is the difference between < and ≤?

Back

< means 'less than' and does not include the number, while ≤ means 'less than or equal to' and includes the number.

Front

What is the difference between > and ≥?

Back

> means 'greater than' and does not include the number, while ≥ means 'greater than or equal to' and includes the number.

Front

If the inequality is b < 6, what type of circle is used when graphing?

Back

An open circle is used because 6 is not included in the solution.

Front

If the inequality is r ≥ -6, what type of circle is used when graphing?

Back

A closed circle is used because -6 is included in the solution.

Front

What does the inequality x > 3 represent?

Back

It represents all numbers greater than 3, not including 3 itself.