Question: Which of the following statements are true? A = {1,2,3,4}, B = {1,2,{3,4}}, C = {1,2,{1,2}}. i. {1,2} ∈ A. ii. {1,2} ⊂ A. iii. {1,2} ∈ B. iv. {3,4} ∈ B. v. {1,2} ∈ C. vi. {1,2} ⊂ C. ANSWERS i. False ii. True iii. False
Question: Which of the following statements are true? A = {1,2,3,4}, B = {1,2,{3,4}}, C = {1,2,{1,2}}. i. {1,2} ∈ A. ii. {1,2} ⊂ A. iii. {1,2} ∈ B. iv. {3,4} ∈ B. v. {1,2} ∈ C. vi. {1,2} ⊂ C. ANSWERS i. False ii. True iii. False
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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I received a sets question. I have included it below along with the corrected answers. Can someone explain to me why {1,2} is not an element of A?
Question:
Which of the following statements are true?
A = {1,2,3,4}, B = {1,2,{3,4}}, C = {1,2,{1,2}}.
i. {1,2} ∈ A.
ii. {1,2} ⊂ A.
iii. {1,2} ∈ B.
iv. {3,4} ∈ B.
v. {1,2} ∈ C.
vi. {1,2} ⊂ C.
ANSWERS
i. False
ii. True
iii. False
iv. True
v. True
vi. True
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