How To Solve an Absolute Value Equation when There is Only One Solution

The video tutorial explains how to solve absolute value equations by setting up two cases: one where the value inside the absolute value is positive and another where it is negative. The instructor demonstrates solving these equations and checking the solutions to determine which one is valid. The final solution is identified as X equals -3, while X equals 4 is not a solution.

What are the two cases to consider when solving an absolute value equation?

• When the value inside is positive and when it's negative

• When the value inside is zero and when it's non-zero

• When the value inside is greater than 10 and when it's less than 10

• When the value inside is even and when it's odd

What is the first step in solving for X in an absolute value equation?

• Divide both sides by a constant

• Get X on the same side of the equation

• Multiply both sides by a variable

• Add a constant to both sides

After isolating X, what should you do next to find the solution?

• Add the solutions together

• Subtract the solutions from each other

• Check if the solutions satisfy the original equation

• Multiply the solutions by a constant

Why is it important to verify the solutions of an absolute value equation?

• To ensure the solutions are positive

• To confirm the solutions satisfy the original equation

• To check if the solutions are even numbers

• To determine if the solutions are greater than zero

What was the final correct solution for the given absolute value equation?

• X = 0

• X = 4

• X = 7

• X = -3