Let B, = {xER|0< x si for each integer i = 1, 2, 3, 4. (a) Find B, U B, U B3 U B4: (Enter your answer using interval notation.) (b) Find B, n B, n B2 n Bạ. (Enter your answer using interval notation.) (c) Are B,, B,, B2, and B, mutually disjoint? Why or why not? B2' Yes, because no two of the sets B,, B,, B3, B, have any elements in common. Yes, because the union of the sets B,, B2, B31 B4 is empty. Yes, because the intersection of the sets B. °1' P2' P3' P4 В. Ba, B, is empty. No, because no two of the sets B,, B2, B3' B4 O No, because the sets B,, B,, B,, B, are disjoint. В. В. 4
Let B, = {xER|0< x si for each integer i = 1, 2, 3, 4. (a) Find B, U B, U B3 U B4: (Enter your answer using interval notation.) (b) Find B, n B, n B2 n Bạ. (Enter your answer using interval notation.) (c) Are B,, B,, B2, and B, mutually disjoint? Why or why not? B2' Yes, because no two of the sets B,, B,, B3, B, have any elements in common. Yes, because the union of the sets B,, B2, B31 B4 is empty. Yes, because the intersection of the sets B. °1' P2' P3' P4 В. Ba, B, is empty. No, because no two of the sets B,, B2, B3' B4 O No, because the sets B,, B,, B,, B, are disjoint. В. В. 4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
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![Let \( B_i = \{ x \in \mathbb{R} \mid 0 \leq x \leq i \} \) for each integer \( i = 1, 2, 3, 4 \).
(a) Find \( B_1 \cup B_2 \cup B_3 \cup B_4 \). (Enter your answer using interval notation.)
[Answer Box]
(b) Find \( B_1 \cap B_2 \cap B_3 \cap B_4 \). (Enter your answer using interval notation.)
[Answer Box]
(c) Are \( B_1, B_2, B_3, \) and \( B_4 \) mutually disjoint? Why or why not?
- Yes, because no two of the sets \( B_1, B_2, B_3, B_4 \) have any elements in common.
- Yes, because the union of the sets \( B_1, B_2, B_3, B_4 \) is empty.
- Yes, because the intersection of the sets \( B_1, B_2, B_3, B_4 \) is empty.
- No, because no two of the sets \( B_1, B_2, B_3, B_4 \) are disjoint. [Selected]
- No, because the sets \( B_1, B_2, B_3, B_4 \) are disjoint.
The selected answer is indicated with a checkmark.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd16c46a0-d8b3-4c49-8249-7270f2b9ceb6%2Fb2cff056-cb66-47b1-bf9f-fa4c242814bf%2Fb1o5uuc_processed.png&w=3840&q=75)
Transcribed Image Text:Let \( B_i = \{ x \in \mathbb{R} \mid 0 \leq x \leq i \} \) for each integer \( i = 1, 2, 3, 4 \).
(a) Find \( B_1 \cup B_2 \cup B_3 \cup B_4 \). (Enter your answer using interval notation.)
[Answer Box]
(b) Find \( B_1 \cap B_2 \cap B_3 \cap B_4 \). (Enter your answer using interval notation.)
[Answer Box]
(c) Are \( B_1, B_2, B_3, \) and \( B_4 \) mutually disjoint? Why or why not?
- Yes, because no two of the sets \( B_1, B_2, B_3, B_4 \) have any elements in common.
- Yes, because the union of the sets \( B_1, B_2, B_3, B_4 \) is empty.
- Yes, because the intersection of the sets \( B_1, B_2, B_3, B_4 \) is empty.
- No, because no two of the sets \( B_1, B_2, B_3, B_4 \) are disjoint. [Selected]
- No, because the sets \( B_1, B_2, B_3, B_4 \) are disjoint.
The selected answer is indicated with a checkmark.
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