https://file.aiquickdraw.com/mathbot/file/17277912157785xwjbpj4.jpg

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!

Select the values that make the inequality 9d > 9 true. Then write an equivalent inequality, in terms of d.

Learn how to solve the inequality 9d > 9 by dividing both sides by 9 to find the solution d > 1. This problem explores key concepts in algebra and inequalities, making it suitable for Grades 6-8. Explore equivalent inequalities and understand which values of d make the inequality true.

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