To solve the inequality \(3x - 8 > 4\), follow these steps:

1. Add 8 to both sides to move the constant term:
   \[
   3x > 4 + 8
   \]
   \[
   3x > 12
   \]

2. Divide both sides by 3 to isolate \(x\):
   \[
   x > \frac{12}{3}
   \]
   \[
   x > 4
   \]

### Solution:
\[
x > 4
\]

Would you like more details on solving inequalities or any other questions?

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Here are five related questions to explore:

1. What is the solution set of \( 5x - 7 \leq 3x + 9 \)?
2. How do you solve the inequality \( 2(x - 3) \geq 6 \)?
3. How does solving inequalities differ from solving equalities?
4. What happens when you multiply or divide by a negative number in an inequality?
5. Can you graph the solution to \( x > 4 \) on a number line?

**Tip:** When multiplying or dividing both sides of an inequality by a negative number, remember to reverse the inequality sign.

Learn how to solve the linear inequality 3x - 8 > 4 step by step. This example focuses on key algebraic techniques such as adding constants and dividing by coefficients. Ideal for students in Grades 6-8.

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