It seems confusing but have to re arrange the definitions to its names like “empty set”. E If two sets are equivalent, then they arealso equal. (True or False?)|A is not a subset of B.|Empty Set|Roster MethodEquivalent 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 SetsEqual SetsIf two sets are equal, then they are alsoequivalent. (True or False?)- Disjoint SetsSetDe Morgan's Lawproper subset:Definitions/Examplesa. A = {0, 0, =,4}, B= {4,0,/ =}a. A = {0, ® , = ,A}, B=b. Every element in set A is also an element in set B.c. TRUEd. {r | x € A and z € B}e. AU (Bn C) = (AU B) n (AU C)f. z = 6. {r | æ € 2k + 1 and k € Z}%3Dg. 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 Bk. {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 determinedo. FALSEp. Sets with no common elements.q. {x | x € U and a g A}r. Sets with exactly the same elementss. {Red, Yellow, Blue, Green, Black}t. The objects or things in a set

These are discussed according to definition in set theory.

| 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 subret of B

| 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 subret of B

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.1: Basic Assumptions

Problem 40WE

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Question

It seems confusing but have to re arrange the definitions to its names like “empty set”.

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, 0, =,4}, B= {4,0,/ =}
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 (Bn C) = (AU B) n (AU C)
f. z = 6. {r | æ € 2k + 1 and k € 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. {x | x € U and a g 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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