Learn the Easiest Way to Solve an Absolute Value Equation by Testing Two Cases

The video tutorial explains how to solve absolute value inequalities by first isolating the absolute value and then setting up two cases. The instructor emphasizes the importance of isolating the absolute value before proceeding. Once isolated, two cases are created: one for the positive and one for the negative scenario. The equations are solved, and the solutions are verified to ensure they satisfy the original inequality.

What is the first step in solving an absolute value inequality?

• Add a constant to both sides

• Isolate the absolute value

• Create two cases immediately

• Multiply both sides by a constant

When setting up two cases for an absolute value equation, what are the possible scenarios?

• Both cases are negative

• Both cases are positive

• One case is positive, the other is negative

• One case is zero, the other is positive

What is the solution for the equation X + 4 = 14?

• X = 10

• X = -10

• X = -18

• X = 18

How do you verify if a solution to an absolute value inequality is correct?

• By comparing it to another solution

• By checking if it is a negative number

• By ensuring it is a positive number

• By checking if it satisfies the original inequality

What is the absolute value of -14?

• 28

• 14

• 0

• -14