In this lesson you will learn the Techniques for Multistep Inequalities are quite similar to regular Multistep equations with the exception of negative numbers. You will learn how to deal with grouping symbols as well as the two special cases of solutions. The lecture ends with four additional examples.
To solve a
multi-step inequality, use the same techniques that were discussed
in the section on multi-step equations. For review, see the
material given for that section.
If the inequality
contains grouping symbols, use the distributive property to remove
these symbols and simplify the inequality.
If the solution of
an inequality leads to an inequality that is always true, the
solution set of the original inequality is the set of all real
If the solution
leads to an inequality that is never true, the solution set is the
Techniques for Multi-Step 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.