In each of (a)–(f), answer the following questions: Is A ⊆ B? Is B ⊆ A? Is either A or B a proper subset of the other? (a) A = {3, {3}, (/3)?}, B = {3, {3}, {{3}}}Is A C B?O YesO NoIs B C A?O YesO NoIs either A or Ba proper subset of the other?O Yes, A is a proper subset of B.O Yes, B is a proper subset of A.O No, neither is a proper subset of the other.(b) A = {3, V 52 – 42, 24 mod17},8=B = {8 mod 5}Is A C B?O YesO NoIs B C A?O YesO NoIs either A or Ba proper subset of the other?O Yes, A is a proper subset of B.O Yes, B is a proper subset of A.O No, neither is a proper subset of the other.(c) A = {{1, 2}, {2, 3}}, B = {1, 2, 3}Is A C B?O YesO NoIs B C A?O YesO NoIs either A or Ba proper subset of the other?O Yes, A is a proper subset of B.O Yes, B is a proper subset of A.O No, neither is a proper subset of the other. (d) A = {a, b, c}, B = {{a}, {b}, {c}}Is A C B?O YesO NoIs BC A?O YesO NoIs either A or Ba proper subset of the other?O Yes, A is a proper subset of B.O Yes, B is a proper subset of A.O No, neither is a proper subset of the other.(e) A = {V36, {6}}, B = {6}Is A C B?O YesO NoIs B C A?O YesO NoIs either A or Ba proper subset of the other?O Yes, A is a proper subset of B.O Yes, B is a proper subset of A.O No, neither is a proper subset of the other.(f) A = {x€ R | cos(x) E Z}, B = {x€ R | sin(x) E Z}Is A C B?O YesO NoIs B C A?O YesO NoIs either A or Ba proper subset of the other?O Yes, A is a proper subset of B.O Yes, B is a proper subset of A.O No, neither is a proper subset of the other.

Answered: Image /qna-images/answer/d6be233c-ea36-410f-b009-8f1d1dd98772.jpg

Answered: In each of (a)–(f), answer the…

Math

Advanced Math

In each of (a)–(f), answer the following questions: Is A ⊆ B? Is B ⊆ A? Is either A or B a proper subset of the other?

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

In each of (a)–(f), answer the following questions: Is A ⊆ B? Is B ⊆ A? Is either A or B a proper subset of the other?

(a) A = {3, {3}, (/3)?}, B = {3, {3}, {{3}}}
Is A C B?
O Yes
O No
Is B C A?
O Yes
O No
Is either A or Ba proper subset of the other?
O Yes, A is a proper subset of B.
O Yes, B is a proper subset of A.
O No, neither is a proper subset of the other.
(b) A = {3, V 52 – 42, 24 mod
17},8=
B = {8 mod 5}
Is A C B?
O Yes
O No
Is B C A?
O Yes
O No
Is either A or Ba proper subset of the other?
O Yes, A is a proper subset of B.
O Yes, B is a proper subset of A.
O No, neither is a proper subset of the other.
(c) A = {{1, 2}, {2, 3}}, B = {1, 2, 3}
Is A C B?
O Yes
O No
Is B C A?
O Yes
O No
Is either A or Ba proper subset of the other?
O Yes, A is a proper subset of B.
O Yes, B is a proper subset of A.
O No, neither is a proper subset of the other.

(d) A = {a, b, c}, B = {{a}, {b}, {c}}
Is A C B?
O Yes
O No
Is BC A?
O Yes
O No
Is either A or Ba proper subset of the other?
O Yes, A is a proper subset of B.
O Yes, B is a proper subset of A.
O No, neither is a proper subset of the other.
(e) A = {V36, {6}}, B = {6}
Is A C B?
O Yes
O No
Is B C A?
O Yes
O No
Is either A or Ba proper subset of the other?
O Yes, A is a proper subset of B.
O Yes, B is a proper subset of A.
O No, neither is a proper subset of the other.
(f) A = {x€ R | cos(x) E Z}, B = {x€ R | sin(x) E Z}
Is A C B?
O Yes
O No
Is B C A?
O Yes
O No
Is either A or Ba proper subset of the other?
O Yes, A is a proper subset of B.
O Yes, B is a proper subset of A.
O No, neither is a proper subset of the other.

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