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Solve the expression | x-2 | = (x-2) ....

Solve the expression | x-2 | = (x-2) .

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To solve the expression \( |x - 2| = x - 2 \), we will consider two cases based on the definition of absolute value. ### Step 1: Analyze the Absolute Value The absolute value \( |x - 2| \) can be defined as: - \( x - 2 \) when \( x \geq 2 \) - \( -(x - 2) \) or \( 2 - x \) when \( x < 2 \) ### Step 2: Case 1 - When \( x \geq 2 \) ...
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