https://file.aiquickdraw.com/mathbot/file/17261736487650tg6qs7z.jpg

To determine whether \(-8\) is in the solution set of the compound inequality \(-8 \leq x < 1\), we substitute \(x\) with \(-8\) and check if it satisfies the inequality.

### Step-by-Step Solution:

1. The compound inequality is given as:
   \[
   -8 \leq x < 1
   \]

2. Substitute \(x = -8\) into the inequality:
   - Check the first part: \(-8 \leq -8\).
     - This is true because \(-8\) is equal to \(-8\).
   - Check the second part: \(-8 < 1\).
     - This is also true because \(-8\) is less than \(1\).

Since both conditions of the compound inequality are satisfied, \(-8\) is indeed in the solution set.

### Conclusion:
\(-8\) is in the solution set of the inequality \(-8 \leq x < 1\).

Would you like more details or have any other questions?

### Related Questions:
1. What does it mean for a value to be in a solution set of an inequality?
2. How do you solve compound inequalities with "and" versus "or"?
3. How do you represent the solution of \(-8 \leq x < 1\) on a number line?
4. What is the difference between strict and non-strict inequalities?
5. How do compound inequalities differ when joined by "and" compared to "or"?

**Tip:** When working with compound inequalities, always check each part of the inequality separately to ensure that all conditions are met.

Determine whether -8 is in the solution set of the compound inequality -8 ≤ x < 1.

Learn how to determine if -8 is part of the solution set of the compound inequality -8 ≤ x < 1. This problem involves understanding compound inequalities, verifying individual conditions, and interpreting the solution on a number line. 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