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Why is it important to isolate the absolute value expression when solving an absolute value equation?

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Final answer:

Isolating the absolute value expression in an absolute value equation is important to account for the two possible solutions.

Step-by-step explanation:

When solving an absolute value equation, it is important to isolate the absolute value expression in order to properly account for the two possible solutions. By isolating the absolute value expression, we can separate the equation into two cases, one where the expression inside the absolute value is positive and one where it is negative. This allows us to solve each case separately, leading to the correct set of solutions.

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