When mixing together inequalities and absolute values, we must follow the techniques of both. This means we want to isolate the absolute value and split it into two problems. Depending on the direction of the inequality, we connect the two problems with AND or OR. Remember to flip the inequality symbol if you multiply or divide by a negative number. To help connect the new equations, remember the direction that the inequality is facing. Some inequalities will have no solution. For example, we cannot have an absolute value less than a negative number.
*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.
Inequalities with Absolute Values
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.