The expression \( |x| \) represents the absolute value of \( x \). Absolute value measures the distance of a number from 0 on the number line, regardless of direction. This means:

- If \( x \geq 0 \), then \( |x| = x \).
- If \( x < 0 \), then \( |x| = -x \) (which makes the result positive).

In summary, \( |x| \) is always non-negative (greater than or equal to 0), regardless of whether \( x \) itself is positive or negative.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the absolute value of \( -7 \)?
2. How do you solve \( |x| = 5 \)?
3. What is the graph of the absolute value function \( y = |x| \)?
4. How is the absolute value function used in real-world applications?
5. What is the solution to \( |x - 3| = 7 \)?

**Tip:** The absolute value function creates a "V" shape when graphed, reflecting negative values across the x-axis to positive ones.

Learn how the absolute value function |x| works with detailed explanations and examples. Understand the definition of absolute value, the formulas involved, and how it is used in solving real-world problems. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation