Let's solve the inequality step by step:

The inequality is:

$2x + 3 > 7$

1. Subtract 3 from both sides to isolate the term with $x$:

$2x > 7 - 3$ $2x > 4$

2. Divide both sides by 2 to solve for $x$:

$x > \frac{4}{2}$ $x > 2$

Final Solution:

The solution to the inequality is:

$x > 2$

This means that $x$ can be any value greater than 2.

Would you like further details on solving inequalities, or have any questions about this solution?

---

Here are five related questions for practice:

1. Solve $3x - 5 \geq 10$.
2. Solve $-4x + 7 < 15$.
3. Solve $\frac{1}{2}x + 4 \leq 6$.
4. How do you solve an inequality with absolute values, like $|x - 3| > 5$?
5. What happens if the inequality involves multiplying or dividing by a negative number?

Tip: Always reverse the inequality sign when multiplying or dividing both sides by a negative number!