**Transcription for Educational Website:** --- **Task 4:** Write a set using roster notation. - The set of letters in the word "indistinguishability" **Note:** Roster notation means 'to list all elements of the set properly.' **Extra:** Present two different solutions of this problem; state the rationale for each. --- **Task 5:** Given: - \( U = \{ x | x \in \mathbb{N}, x < 40 \} \) - \( A = \{ x | x \in \mathbb{N}, x \text{ is a composite number}, x < 40 \} \) Find \( \bar{A} \) and present it in roster notation. **Note:** \( \bar{A} \) means 'complement to \( A \)'; recall composite numbers and prime numbers. **Extra:** Find a complement to \( A \). --- **Footer:** Empire State College Prof. Stern College Mathematics Fall 2020 Page 1 of 2 ---

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Transcription for Educational Website:**

---

**Task 4:**

Write a set using roster notation.

- The set of letters in the word "indistinguishability"

**Note:** Roster notation means 'to list all elements of the set properly.'
**Extra:** Present two different solutions of this problem; state the rationale for each.

---

**Task 5:**

Given:

- \( U = \{ x | x \in \mathbb{N}, x < 40 \} \)
  
- \( A = \{ x | x \in \mathbb{N}, x \text{ is a composite number}, x < 40 \} \)

Find \( \bar{A} \) and present it in roster notation.

**Note:** \( \bar{A} \) means 'complement to \( A \)'; recall composite numbers and prime numbers.
**Extra:** Find a complement to \( A \).

---

**Footer:**

Empire State College  
Prof. Stern  
College Mathematics  
Fall 2020  
Page 1 of 2

---
Transcribed Image Text:**Transcription for Educational Website:** --- **Task 4:** Write a set using roster notation. - The set of letters in the word "indistinguishability" **Note:** Roster notation means 'to list all elements of the set properly.' **Extra:** Present two different solutions of this problem; state the rationale for each. --- **Task 5:** Given: - \( U = \{ x | x \in \mathbb{N}, x < 40 \} \) - \( A = \{ x | x \in \mathbb{N}, x \text{ is a composite number}, x < 40 \} \) Find \( \bar{A} \) and present it in roster notation. **Note:** \( \bar{A} \) means 'complement to \( A \)'; recall composite numbers and prime numbers. **Extra:** Find a complement to \( A \). --- **Footer:** Empire State College Prof. Stern College Mathematics Fall 2020 Page 1 of 2 ---
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