Consider the following sets. A = {12} B = {10 + 2} C = {10, 2} D = {26} E = {2, 6} (a) What is the cardinality of each set? |A| = |B| = |C| = |D| = |E| = (b) Which of the sets are equivalent? A ↔ B ↔ D; C ↔ E A ↔ B ↔ C; D ↔ E A ↔ B ↔ E; D ↔ C A ↔ B ↔ C ↔ D ↔ E A ↔ B; C ↔ D ↔ E (c) Which of the given sets are equal? D = E A = B A = B = D; C = E A = D = E; B = C C = E
Consider the following sets. A = {12} B = {10 + 2} C = {10, 2} D = {26} E = {2, 6} (a) What is the cardinality of each set? |A| = |B| = |C| = |D| = |E| = (b) Which of the sets are equivalent? A ↔ B ↔ D; C ↔ E A ↔ B ↔ C; D ↔ E A ↔ B ↔ E; D ↔ C A ↔ B ↔ C ↔ D ↔ E A ↔ B; C ↔ D ↔ E (c) Which of the given sets are equal? D = E A = B A = B = D; C = E A = D = E; B = C C = E
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Consider the following sets.
A | = | {12} |
B | = | {10 + 2} |
C | = | {10, 2} |
D | = | {26} |
E | = | {2, 6} |
(a) What is the cardinality of each set?
(b) Which of the sets are equivalent?
(c) Which of the given sets are equal?
|A| | = | |
|B| | = | |
|C| | = | |
|D| | = | |
|E| | = |
(b) Which of the sets are equivalent?
A ↔ B ↔ D; C ↔ E
A ↔ B ↔ C; D ↔ E
A ↔ B ↔ E; D ↔ C
A ↔ B ↔ C ↔ D ↔ E
A ↔ B; C ↔ D ↔ E
(c) Which of the given sets are equal?
D = E
A = B
A = B = D; C = E
A = D = E; B = C
C = E
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