The inequality provided is:

$9d > 9$

To solve this inequality, we divide both sides by 9:

$d > 1$

This means that the values of $d$ that make the inequality true are those greater than 1. From the given options in the image, the correct values are:

$2, 4, 6, 11$

The equivalent inequality is:

$d > 1$

Would you like a more detailed explanation or further help?

Here are five questions to deepen your understanding:

1. What is the process for solving inequalities involving multiplication or division?
2. How would the inequality change if it were $9d \geq 9$ instead?
3. Can you explain why values less than or equal to 1 do not satisfy the inequality?
4. How would the solution change if the inequality sign was reversed, making it $9d < 9$?
5. How can you graph the solution $d > 1$ on a number line?

Tip: Always remember that when dividing or multiplying both sides of an inequality by a negative number, the inequality sign must be flipped!