If |x| = 7, what are the possible values of x?

The equation \(|x| = 7\) implies that \(x\) can be either 7 or -7. This is because the absolute value of a number represents its distance from zero on the number line, regardless of direction.

So, the possible values of \(x\) are:

\[
x = 7 \quad \text{or} \quad x = -7
\]

Would you like more details on absolute value functions, or do you have any other questions?

Here are 5 related questions to consider:
1. What is the general definition of an absolute value?
2. How would you solve \(|x| = -5\)?
3. How does the graph of \(y = |x|\) look?
4. What is the solution set for \(|x| < 7\)?
5. How would you solve \(|2x - 3| = 5\)?

**Tip:** Remember, the absolute value of any number is always non-negative, which means it's always zero or positive.

Explore how to solve the absolute value equation |x| = 7 with detailed explanations. Understand the concept of absolute value and its application in finding possible values of x. Suitable for students in Grades 6-8.

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