The solution of the inequality
|x| ≤ 7
is the following interval. (Enter your answer using interval notation.)

The inequality \(|x| \leq 7\) means that the absolute value of \(x\) is less than or equal to 7. This can be rewritten as:

\[
-7 \leq x \leq 7
\]

Therefore, the solution in interval notation is:

\[
[-7, 7]
\]

Would you like further details or have any questions?

Here are 5 related questions you might find interesting:
1. How would the interval change if the inequality was \(|x| < 7\)?
2. What is the solution to \(|x| \geq 7\) in interval notation?
3. How do you solve inequalities with absolute values involving a variable on both sides, such as \(|x + 3| \leq 5\)?
4. What is the graphical representation of the solution to \(|x| \leq 7\)?
5. How does the interval notation change if you replace the inequality with \(|x| > 7\)?

**Tip:** Always remember that solving absolute value inequalities involves considering both the positive and negative scenarios for the expression inside the absolute value.

The solution of the inequality |x| ≤ 7 is the following interval. (Enter your answer using interval notation.)

Learn how to solve the absolute value inequality |x| ≤ 7 and express the solution in interval notation. This solution covers the key concept of absolute value inequalities and is suitable for students in Grades 6-8. The interval notation for this problem is [-7, 7].

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation