Let A = { 1, 2, { 3, 4 }, 5 }. Which of the following statements are incorrect and why?(i) {3, 4} ⊂ A                                             (ii) {3, 4} ∈ A                                            (iii) {{3, 4}} ⊂ A(iv) 1 ∈ A                                                   (v) 1 ⊂ A                                                  (vi) {1, 2, 5} ⊂ A(vii) {1, 2, 5} ∈ A                                   (viii) {1, 2, 3} ⊂ A

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.3: The Field Of Quotients Of An Integral Domain
Problem 6E
icon
Related questions
Topic Video
Question

Let A = { 1, 2, { 3, 4 }, 5 }. Which of the following statements are incorrect and why?
(i) {3, 4} ⊂ A                                             (ii) {3, 4} ∈ A                                            (iii) {{3, 4}} ⊂ A
(iv) 1 ∈ A                                                   (v) 1 ⊂ A                                                  (vi) {1, 2, 5} ⊂ A
(vii) {1, 2, 5} ∈ A                                   (viii) {1, 2, 3} ⊂ A 

Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,