To solve the inequality $\frac{x}{3} > 4$:

Step-by-Step Solution:

1. Start by multiplying both sides of the inequality by 3 to eliminate the fraction: $\frac{x}{3} \cdot 3 > 4 \cdot 3$

2. Simplify both sides: $x > 12$

Final Answer:

$x > 12$

Would you like a graph of this inequality or further explanation? 😊

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Related Questions:

1. What if the inequality was $\frac{x}{3} \geq 4$?
2. How would the solution change if it were $\frac{x}{3} < 4$?
3. Can we express $\frac{x}{3} > 4$ in interval notation?
4. What happens if the inequality is $\frac{x}{3} = 4$?
5. How does solving $3x > 12$ compare to this problem?

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Tip:

When solving inequalities, always consider the sign of the number you're multiplying or dividing by. If it's negative, remember to flip the inequality sign!