Let's solve the inequality:

\[
38 > 2(x + 8)
\]

### Step 1: Distribute the \( 2 \) on the right-hand side:
\[
38 > 2x + 16
\]

### Step 2: Subtract \( 16 \) from both sides:
\[
38 - 16 > 2x
\]
\[
22 > 2x
\]

### Step 3: Divide both sides by \( 2 \):
\[
\frac{22}{2} > x
\]
\[
11 > x
\]

### Final Answer:
\[
x < 11
\]

The solution to the inequality is \( x < 11 \).

Would you like more details or have any questions about this? 

Here are five related questions to expand your understanding:
1. How would the solution change if the inequality was \( 38 < 2(x+8) \)?
2. Can you graph the solution \( x < 11 \) on a number line?
3. What happens to the inequality if you multiply or divide both sides by a negative number?
4. How do you solve inequalities with more than one variable?
5. What is the difference between solving equations and solving inequalities?

**Tip:** Always remember, if you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign!

Learn how to solve the linear inequality 38 > 2(x + 8) using key algebraic techniques. This problem covers the distributive property and inequality rules, perfect for students in Grades 6-8. Understand how to isolate the variable step-by-step and explore related concepts like the effect of dividing by negative numbers.

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