Definitions/Examples a. A = {0, 0, =,A), B = {a, 0./. = } b. Every element in set A is also an element in set B. c. TRUE d. {z | z € A and z E B} e. AU (BnC) = (AU B)n (AUC) f. z = 6. {z | z € 2k + 1 and k e Z} g. A general set that contains ALL of the elements we are discussing. h. {a, B, 6} C {6, 7, B, a} 1. n(A) j. The set of all elements that are in A OR in B OR in both A and B k. (0, 8, , x, A}n {Z, +, 1,6} 1. Sets whose elements can be placed in a one-to-one correspondence. m. (AU B)' = A' OB' n. A collection of objects whose contents can be clearly determined o. FALSE p. Sets with no common elements. q. {z |z € U and z¢ A} r. Sets with exactly the same elements s. {Red, Yellow, Blue, Green, Black} t. The objects or things in a set

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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Would appreciate the help. You have to rearrange the words on on top to the letter + definition on the bottom
E If two sets are equivalent, then they are
also equal. (True or False?)
A is not a subset of B.
Empty Set
| Roster Method
Equivalent sets
The empty set is a subset of every set.
(True or False?)
| Universal set
| Complement of a set A
A is a subset of B.
Union of two sets
| Cardinal number of a set
| Elements
-
| A°
|Intersection of Sets
Equal Sets
| If two sets are equal, then they are also
equivalent. (True or False?)
- Disjoint Sets
Set
|De Morgan's Law
proper subset:
Definitions/Examples
a. A = {0, ®, = ,4), B = {a, 0. = }
a. A = {0, ® , = ,A}, B=
b. Every element in set A is also an element in set B.
c. TRUE
d. {r | x € A and z € B}
e. AU (BnC) = (AU B) n (AU C)
f. z = 6. {r | æ € 2k + 1 and k E Z}
%3D
g. A general set that contains ALL of the elements we are discussing.
h. {a, B, 8} C {8,7, B, a}
i. n(A)
j. The set of all elements that are in A OR in B OR in both A and B
k. {0, 8, =, × ,A}n{Z, ÷, ↑ , 8}
1. Sets whose elements can be placed in a one-to-one correspondence.
m. (AU B)' = A'O B'
n. A collection of objects whose contents can be clearly determined
o. FALSE
p. Sets with no common elements.
q. {z | x € U and z¢ A}
r. Sets with exactly the same elements
s. {Red, Yellow, Blue, Green, Black}
t. The objects or things in a set
Transcribed Image Text:E If two sets are equivalent, then they are also equal. (True or False?) A is not a subset of B. Empty Set | Roster Method Equivalent sets The empty set is a subset of every set. (True or False?) | Universal set | Complement of a set A A is a subset of B. Union of two sets | Cardinal number of a set | Elements - | A° |Intersection of Sets Equal Sets | If two sets are equal, then they are also equivalent. (True or False?) - Disjoint Sets Set |De Morgan's Law proper subset: Definitions/Examples a. A = {0, ®, = ,4), B = {a, 0. = } a. A = {0, ® , = ,A}, B= b. Every element in set A is also an element in set B. c. TRUE d. {r | x € A and z € B} e. AU (BnC) = (AU B) n (AU C) f. z = 6. {r | æ € 2k + 1 and k E Z} %3D g. A general set that contains ALL of the elements we are discussing. h. {a, B, 8} C {8,7, B, a} i. n(A) j. The set of all elements that are in A OR in B OR in both A and B k. {0, 8, =, × ,A}n{Z, ÷, ↑ , 8} 1. Sets whose elements can be placed in a one-to-one correspondence. m. (AU B)' = A'O B' n. A collection of objects whose contents can be clearly determined o. FALSE p. Sets with no common elements. q. {z | x € U and z¢ A} r. Sets with exactly the same elements s. {Red, Yellow, Blue, Green, Black} t. The objects or things in a set
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