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:
Step 3:: Isolate the Absolute Value Term
|x-1| = -3
Subtract 5 from both sides of the equation:
Step 4:: Analyze the Absolute Value
Since $$-3$$ is negative, there are NO REAL SOLUTIONS to this equation.
This distance cannot be negative.
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
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