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To determine which numbers are irrational, let's break down the options provided:

### A. \( \frac{9}{4} \)
This is a fraction of two integers, which makes it a **rational number**.

### B. \( 11 \)
This is an integer, and all integers are **rational numbers**.

### C. \( -14 \)
This is also an integer, so it is a **rational number**.

### D. \( 0.151155111555... \)
This number has a non-repeating and non-terminating decimal pattern. Any number that cannot be expressed as a ratio of two integers and has a non-repeating, non-terminating decimal expansion is an **irrational number**. So this is **irrational**.

### E. \( \frac{5}{7} \)
This is a fraction of two integers, so it is a **rational number**.

### Conclusion:
The irrational number in the list is **D**.

Would you like more details or have any questions?

Here are 5 related questions:
1. What makes a number irrational versus rational?
2. Can a repeating decimal be an irrational number?
3. How do you convert a rational number into a decimal?
4. Are all square roots irrational?
5. Can you give examples of irrational numbers beyond this question?

**Tip:** Irrational numbers are often identified by their non-repeating, non-terminating decimal expansions!

Learn how to identify irrational numbers from a set of given values. This problem involves understanding the properties of rational and irrational numbers, suitable for students in Grades 6-9.

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