The equation you've written, \( |11 - 48| = 18 \), is not correct.

Let's solve the left-hand side:

1. First, subtract 48 from 11:
   \[
   11 - 48 = -37
   \]

2. Now, take the absolute value:
   \[
   | -37 | = 37
   \]

So, the correct expression is:
\[
|11 - 48| = 37
\]

It seems that 18 was a mistake. The correct answer is 37, not 18.

Would you like more details on absolute values or how they work?

Here are some related questions to further explore the concept:
1. What is the absolute value of \( |x - y| \) for any integers \(x\) and \(y\)?
2. How would you graph the equation \( |x - a| = b \)?
3. Can you explain the difference between absolute value and regular subtraction?
4. How do you solve equations involving absolute values, like \( |x + 5| = 10 \)?
5. What happens when the expression inside the absolute value is positive versus negative?

**Tip:** Always handle the operation inside absolute value first, and then take the absolute value afterward.

Learn how to solve absolute value equations with a step-by-step solution to the problem |11 - 48| = 37. This guide covers the concepts of subtraction and absolute value, providing a clear explanation of the process. Suitable for students in Grades 6-8.

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