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Set the expression inside the absolute value ∣2x−1∣=7 and ∣2x−1∣=−7.

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Final answer:

To solve the equation ∣2x−1∣=7, set the expression inside the absolute value equal to both positive and negative 7 and solve for x. There are no solutions for the equation ∣2x−1∣=−7.

Step-by-step explanation:

The given question involves solving absolute value equations. Absolute value is a mathematical function that gives the distance of a number from zero. When solving ∣2x−1∣=7, we set the expression inside the absolute value equal to both positive and negative 7, and solve for x. For ∣2x−1∣=−7, there are no solutions because the absolute value cannot be negative.

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