Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Question 5
**Select the correct proposition:**
1. \( (A \cup B) - B = A \cap B \)
2. All the proposed equality are wrong
3. \( (A \cup B) - B = A - B \)
4. \( (A \cup B) - B = A \cup B \)
5. \( (A \cup B) - B = A - B \)
### Question 6
**Let:**
\[ f: \mathbb{R} \to \mathbb{R}, f(x) = \frac{1}{1 + x^2} \]
**Select the properties of \( f \):**
- [ ] \( f \) is a bijection
- [ ] \( f \) is a function
- [ ] \( f \) is onto
- [ ] None of all
- [ ] \( f \) is one-to-one](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5515fa1-70cf-4ea0-b2f5-c182d91d6664%2F2bec9830-02a1-441d-a3c9-a28ebc238cee%2Frlyeqm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question 5
**Select the correct proposition:**
1. \( (A \cup B) - B = A \cap B \)
2. All the proposed equality are wrong
3. \( (A \cup B) - B = A - B \)
4. \( (A \cup B) - B = A \cup B \)
5. \( (A \cup B) - B = A - B \)
### Question 6
**Let:**
\[ f: \mathbb{R} \to \mathbb{R}, f(x) = \frac{1}{1 + x^2} \]
**Select the properties of \( f \):**
- [ ] \( f \) is a bijection
- [ ] \( f \) is a function
- [ ] \( f \) is onto
- [ ] None of all
- [ ] \( f \) is one-to-one
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