Q
QuestionMathematics

Solve the equation: ∣x−1∣+ 5 = 2
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Answer

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Step 1
I'll solve this absolute value equation step by step, following the specified LaTeX formatting guidelines:

Step 2
: Understand the Absolute Value Equation

- When $$x-1$$ is negative
This means we'll need to consider two possible cases:

Final Answer

Explanation: - The absolute value of a number is always non-negative - The right side of the equation becomes negative after subtraction - This creates an impossible condition - Therefore, no real number can satisfy this equation