Try To Solve an Absolute Value Equation when There Is No Solution

The video tutorial explains how to solve absolute value equations by setting up two cases: one where the absolute value equals a positive number and another where it equals a negative number. The tutorial emphasizes the importance of isolating the absolute value and highlights that an absolute value cannot equal a negative number, leading to no solution. The properties of absolute values are discussed, reinforcing that they are always positive. The tutorial concludes with a summary of these key points.

What is the first step to solve an absolute value equation?

What happens when the absolute value is set equal to a negative number?

Why is the absolute value of a number always positive?

Can you take the absolute value of a number and set it equal to a negative number? Explain.

What is the conclusion about solutions when an absolute value equals a negative?