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?

---

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 $x > 2$?

---

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