To solve the inequality \(2x + 4 > 8\), follow these steps:

1. **Subtract 4 from both sides**:
   \[
   2x + 4 - 4 > 8 - 4
   \]
   which simplifies to:
   \[
   2x > 4
   \]

2. **Divide both sides by 2**:
   \[
   \frac{2x}{2} > \frac{4}{2}
   \]
   which simplifies to:
   \[
   x > 2
   \]

### Solution
The solution to the inequality is:
\[
x > 2
\]

Would you like further details, or have any questions on this?

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Here are 5 related questions to deepen understanding:

1. What would change if the inequality were \(2x + 4 < 8\) instead?
2. How would you represent the solution \(x > 2\) on a number line?
3. Can you rewrite \(2x + 4 > 8\) in terms of an interval notation?
4. What happens to the solution if \(2x + 4 \geq 8\) instead?
5. How do you check if a value satisfies the inequality \(x > 2\)?

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**Tip**: When solving inequalities, remember to reverse the inequality sign if you multiply or divide by a negative number.

Learn how to solve the inequality 2x + 4 > 8 with step-by-step instructions. This problem demonstrates the process of isolating the variable and applying the properties of inequalities. Suitable for students in Grades 7-9.

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