The problem given is an inequality $5x - 4 > 11$. Let's solve it step by step:

Step 1: Isolate the variable $x$.

$5x - 4 > 11$ First, add 4 to both sides: $5x > 11 + 4$ $5x > 15$

Step 2: Solve for $x$.

Now, divide both sides by 5: $x > \frac{15}{5}$ $x > 3$

Thus, the solution to the inequality is $x > 3$.

Correct Answer:

The correct option is $\boxed{x > 3}$.

Would you like further details on solving inequalities or additional related questions?

Here are 5 follow-up questions:

1. How would the solution change if the inequality was $5x - 4 \geq 11$?
2. What happens when you divide an inequality by a negative number?
3. Can you solve $5x - 4 < 11$ and interpret the solution graphically?
4. How do you graph the solution $x > 3$ on a number line?
5. If the inequality were $-5x - 4 > 11$, what would the solution be?

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