How many solutions are there for the equation below?
|𝑥𝑥| − 5 = 0
A. There is one solution.
B. There are two solutions.
C. There are no solutions.
D. There are infinitely many solutions.

The equation is:

\[
|x| - 5 = 0
\]

To solve for \( x \), first isolate the absolute value term:

\[
|x| = 5
\]

The absolute value of \( x \) equals 5 when \( x = 5 \) or \( x = -5 \), because both \( |5| = 5 \) and \( |-5| = 5 \).

Thus, there are **two solutions** to the equation:

\[
x = 5 \quad \text{or} \quad x = -5
\]

So, the correct answer is **B. There are two solutions.**

Would you like a detailed breakdown of the steps? 

Here are 5 related questions to explore further:
1. What is the definition of absolute value?
2. How do you solve equations involving absolute values?
3. What happens if we change the equation to \( |x| - 7 = 0 \)?
4. How would the solution change if the equation were \( |x| + 5 = 0 \)?
5. How does absolute value affect inequalities, like \( |x| < 3 \)?

**Tip:** Always remember that \( |x| = a \) has two solutions, \( x = a \) and \( x = -a \), when \( a \geq 0 \).

How many solutions are there for the equation below?
|𝑥| − 5 = 0
A. There is one solution.
B. There are two solutions.
C. There are no solutions.
D. There are infinitely many solutions.

Discover how to solve the absolute value equation |x| - 5 = 0 and understand why there are two solutions. This problem explores key algebraic concepts like absolute value and equation solving, suitable for Grades 6-8 students.

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