In Solving Compound and Absolute Value Inequalities, you will first cover the different varieties of compound inequalities such as those connected by 'and' and those by 'or.' Beginning with the 'and' inequalities you will learn about intersections of data. Then, with the 'or' inequalities you will learn about union of data. Lastly, you will cover absolute value inequalities and how to solve them. Several video examples at the end of the lesson make sure you can utilize your new found knowledge.
A compound 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.
Describe the 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.