In this new section on Inequalities, our instructor first guides you through the use of Addition and Subtraction Techniques to solve inequalities. After a summary of the fundamental principle, you will learn about three ways of representing inequalities: inequality notation, set builder notation, or as a graph on a number line.
cannot get a solution by just adding or subtracting the original
equations. You must first multiply one or both of the equations by
appropriate constants to produce two new equations that have the
same or opposite coefficients for one of the variables. Then you
can add or subtract the new equations to eliminate the variable with
the same or opposite coefficients. The resulting equation in one
variable can be easily solved using familiar techniques. Then find
the solution for the other variable by substituting the value for
the first variable into either of the original equations.
Use this method if
none of the coefficients is 1 or 1 and neither pair of
coefficients of the same variable are the equal or opposites.
Solving by Multiplication
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.