https://file.aiquickdraw.com/mathbot/file/17363577433274iyjqtsd.jpg

The inequality given in the image is:

\[
-8 + 3x < -5
\]

### Solution:

1. **Isolate the term with \(x\):**
   Add \(8\) to both sides to simplify:
   \[
   -8 + 8 + 3x < -5 + 8
   \]
   \[
   3x < 3
   \]

2. **Solve for \(x\):**
   Divide both sides by \(3\):
   \[
   x < 1
   \]

### Final Answer:
\[
x < 1
\]

Let me know if you want further details or clarification! Below are some related questions to expand your understanding:

---

### Related Questions:
1. How would the solution change if the inequality were \(-8 + 3x > -5\)?
2. What is the graphical representation of \(x < 1\) on a number line?
3. How does the solution change when dividing by a negative number in inequalities?
4. What happens if the inequality includes "or equal to" (e.g., \(-8 + 3x \leq -5\))?
5. How do we check if a specific value satisfies the inequality?

### Tip:
When solving inequalities, always remember to reverse the inequality sign if multiplying or dividing by a negative number!

Learn how to solve the linear inequality -8 + 3x < -5 with a step-by-step solution. This problem highlights key algebraic concepts such as isolating variables and applying inequality properties. 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