Dr. Eaton covers Compound Inequalities by first explaining what exactly is a Compound Inequality. Then you will cover the two cases when inequalities are joined by 'And' or 'Or.' Four extra examples at the end of the lesson make sure you have a great grasp of the ideas.
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.
The solution of a compound inequality can be found by simplifying each inequality algebraically and then graphing the simplified inequalities.
Describe the solution set of a compound inequality using either a number line or set builder notation.
*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.
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.