How to determine when an absolute value inequality has no solution

The video tutorial explains how to solve an absolute value inequality. It begins by isolating the absolute value and then solving the inequality by multiplying by the reciprocal. The tutorial discusses creating a compound inequality and concludes that the given inequality has no solution due to logical inconsistencies. The process is summarized to help viewers understand how to approach similar problems.

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

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Explain how to isolate the absolute value in the inequality.

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What does it mean to create a compound inequality when solving absolute value inequalities?

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Why is it impossible for the expression X - 3 to be both larger than 1 and less than -1?

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What conclusion can be drawn when an absolute value inequality has no solution?

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