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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Question

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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