Consider the sets. A = {distinct letters in the word miss} B = {15} C = {m, i, s} D = {1 + 1} E = {two} F = {2} (a) What is the cardinality of each set? |A| =   |B| =   |C| =   |D| =   |E| =   |F| =   (b) Which of the sets are equivalent? A ↔ B; C ↔ D; E ↔ FA ↔ C; D ↔ E ↔ F    A ↔ C ↔ B ↔ D ↔ E ↔ FA ↔ C ↔ D; E ↔ F A ↔ C; B ↔ D ↔ E ↔ F (c) Which of the given sets are equal? A = C = D = E = FA = C = D; E = F    A = C; B = D = E = FC = E = FA = C; D = E = F

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 10TFE: True or False Label each of the following statements as either true or false. AB=AC implies B=C, for...
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Consider the sets.

A = {distinct letters in the word miss}
B = {15}
C = {mis}
D = {1 + 1}
E = {two}
F = {2}

(a) What is the cardinality of each set?
|A| =  
|B| =  
|C| =  
|D| =  
|E| =  
|F| =  

(b) Which of the sets are equivalent?
A ↔ BC ↔ DE ↔ FA ↔ CD ↔ E ↔ F    A ↔ C ↔ B ↔ D ↔ E ↔ FA ↔ C ↔ DE ↔ F A ↔ CB ↔ D ↔ E ↔ F

(c) Which of the given sets are equal?
A = C = D = E = FA = C = DE = F    A = CB = D = E = FC = E = FA = CD = E = F
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ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,