Easiest Way To Solve an Absolute Value Equation and Determine when Only One Solution

The video tutorial explains how to solve absolute value inequalities by setting up two cases: one positive and one negative. It emphasizes the importance of isolating the absolute value and solving for X by ensuring variables are on the same side. The tutorial also highlights the necessity of checking solutions, especially when dealing with variables on both sides, to ensure they are valid. The only valid solution in the example is X = 11/8, as absolute values cannot equal negative numbers.

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

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What is the significance of checking solutions after solving an absolute value inequality?

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Explain the process of isolating the absolute value in an inequality.

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How do you determine if a solution is valid when plugging it back into the original equation?

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What is the final solution for X in the given absolute value inequality problem?

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