The expression you provided seems to involve the absolute value function, typically denoted as \( |x-1| \). Let's interpret it as \( |x-1| > 0 \). 

To solve the inequality \( |x-1| > 0 \):

1. The absolute value \( |x-1| \) is defined as:
   \[
   |x-1| = \begin{cases} 
   x-1 & \text{if } x-1 \geq 0 \\
   -(x-1) & \text{if } x-1 < 0 
   \end{cases}
   \]

2. The absolute value \( |x-1| \) is greater than 0 if \( x-1 \neq 0 \). Therefore:
   \[
   x - 1 \neq 0
   \]

3. Solving for \( x \):
   \[
   x \neq 1
   \]

So, the solution to the inequality \( |x-1| > 0 \) is:
\[ x \neq 1 \]

Would you like more details or have any questions? Here are five questions you can ask:

1. How do I solve absolute value equations?
2. What is the difference between absolute value equations and inequalities?
3. Can you provide examples of solving compound inequalities?
4. How do I graph absolute value functions?
5. What are some real-world applications of absolute value inequalities?

**Tip:** When solving absolute value inequalities, always consider the two cases (positive and negative) and combine the solutions appropriately.

Explore how to solve the absolute value inequality |x-1| > 0 step-by-step with detailed explanations. This problem covers key concepts in absolute value and inequalities. Suitable for students in Grades 9-12.

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