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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.

Learn how to solve the inequality 5x - 4 > 11 step-by-step, including how to isolate the variable x and the rules of inequality. This problem covers key algebra concepts, such as the addition and division properties of inequalities. Suitable for students in Grades 7-9.

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