In this lecture you will Solve Rational Equations and Inequalities. Our instructor will begin with an overview of Rational Equations before hitting important topics such as Extraneous Solutions and Rational Inequalities.
To solve a
rational equation, multiply each term on both sides by the LCD of
all the denominators in the equation. Then solve the resulting
equation, which has no fractions.
Always check for
extraneous solutions values that make one or more of the
denominators equal to 0. Exclude such values from the solution set.
Better yet, before solving the equation, determine the values that
must be excluded by setting each denominator equal to 0 and solving.
Then you will recognize an extraneous solution as soon as it
Solving Rational Equations and 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.