Solving an Absolute Value Equation by Creating Two Cases with Only One Solution

The video tutorial explains how to solve absolute value equations by setting up two cases: one for the positive value and one for the negative value. It emphasizes the importance of eliminating absolute value symbols and solving each case separately. The tutorial also highlights the need to check solutions carefully to avoid mistakes, especially when dealing with negative values. The process of distributing negatives and simplifying equations is covered, leading to the final solution. The tutorial concludes by confirming the correct solution and summarizing the key points.

What are the two cases that need to be set up when solving an absolute value equation?

Explain the process of eliminating absolute value symbols in an equation.

How do you check if your solution to an absolute value equation is correct?

What mistake did the teacher make when checking the solution, and how did they correct it?

Why is it important to ensure that the absolute value of a number is always positive?