In this lesson Professor Fraser will walk you through Compound and Absolute Value Inequalities. You will first learn the basics of Compound Inequalities such as the 'And' Inequality and the 'Or' Inequality. Then, after covering Absolute Value Inequalities in Algebra, you will finish off with four complete examples.
inequality combines two inequalities using either and or or.
First solve each inequality separately. If and was used, the
solution set is the set of all numbers in both solution sets of the
two inequalities. If or was used, the solution is all numbers
in either or both of the solution sets of the two inequalities.
To solve an
inequality involving absolute value, convert the original inequality
into a compound inequality that does not involve absolute value,
using the definition of absolute value. For example, |2x + 3| >
4 would become: either 2x + 3 > 4 or
2x + 3 < --4.
solution set of a compound inequality using either a number line or
set builder notation.
Solving Compound and Absolute Value Inequalities
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.