Solving an Absolute Value Equation

The video tutorial explains how to solve absolute value inequalities by first understanding the concept of absolute value as the distance from zero. It demonstrates how to isolate the absolute value in an equation and set up two cases to solve it. The tutorial emphasizes the importance of checking solutions to ensure accuracy. Key steps include isolating the absolute value, setting up two cases, solving the equations, and verifying the solutions.

What is the absolute value of -4?

• 0

• 4

• 8

• -4

When isolating the absolute value, which operation is used to undo multiplication?

• Division

• Exponentiation

• Subtraction

• Addition

What are the two possible values inside the absolute value that can equal 3?

• 3 and -3

• 3 and 6

• -3 and 0

• 3 and 0

What is the solution for 'a' when 6a + 2 = 3?

• 1/3

• -1/6

• -1/3

• 1/6

Why is it important to check your solutions in absolute value inequalities?

• To verify they satisfy the original inequality

• To ensure the solutions are positive

• To simplify the equation further

• To find additional solutions