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The question is asking for the value of \( |a - b| \), given that \( a < b \).

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

- Since \( a < b \), it means \( a - b \) is negative, and thus:
  \[
  |a - b| = -(a - b) = b - a.
  \]

So, the correct answer is \( b - a \), which you have selected.

Would you like a more detailed explanation or any further clarifications? Here are some related questions:

1. How is the absolute value function used in inequalities?
2. What are the general properties of the absolute value function?
3. How would this question change if \( a > b \)?
4. Can the absolute value of a difference between two numbers ever be negative?
5. How can absolute value be applied in real-world scenarios?

**Tip**: When working with absolute values, always consider the sign of the expression inside the absolute value to determine whether it needs to be negated or left as is.

Let a < b. Which of the following is equal to |a - b|?

Learn how to solve the absolute value expression |a - b| when a < b. This problem demonstrates the basic concepts of algebra and the definition of absolute value. Suitable for middle school students in Grades 6-8.

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