The link above provides a list of ten symbolically written statements which are numbered 1-10. Each of the statements is the condition defining one of the terms mentioned in the text below with a blank space next to it. Fill each of the blanks with the number of the condition which defines the term. Let A, B and X be subsets of some universal set U and let a, b and x be an elements of U. Then: The sets A and B are equal provided The set A is a subset of the set B provided The set A is a proper subset of the set B provided x is an element of the union of the sets A and B provided x is an element of the intersection of the sets A and B provided x is an element of the difference of the sets A and B provided x is an element of the complement of the set A provided The sets A and B are disjoint provided A set X is an element of the power set of the set A provided An ordered pair (a,b) is an element of the Cartesian product of the sets A and B provided (Sets)- Part 2 q1 1. (x Є U)^(EA) € A- 2. (x AxЄ B) A (AB) 3. (x = A) A (x ЄE B) 4. (2 € A) + (x ∈ B) 5. (a Є A) ^ (b E B) 6. X CA 7. x ЄAA¬(x Є B) 8. (x = A) (x Є B) 9. (x Є A) V (x Є B) 10. AnB = 0 test 2 part q1 Page 1 ـل WW

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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The link above provides a list of ten symbolically written statements which are numbered 1-10. Each of the statements is the condition defining one of the
terms mentioned in the text below with a blank space next to it. Fill each of the blanks with the number of the condition which defines the term.
Let A, B and X be subsets of some universal set U and let a, b and x be an elements of U. Then:
The sets A and B are equal provided
The set A is a subset of the set B provided
The set A is a proper subset of the set B provided
x is an element of the union of the sets A and B provided
x is an element of the intersection of the sets A and B provided
x is an element of the difference of the sets A and B provided
x is an element of the complement of the set A provided
The sets A and B are disjoint provided
A set X is an element of the power set of the set A provided
An ordered pair (a,b) is an element of the Cartesian product of the sets A and B provided
Transcribed Image Text:The link above provides a list of ten symbolically written statements which are numbered 1-10. Each of the statements is the condition defining one of the terms mentioned in the text below with a blank space next to it. Fill each of the blanks with the number of the condition which defines the term. Let A, B and X be subsets of some universal set U and let a, b and x be an elements of U. Then: The sets A and B are equal provided The set A is a subset of the set B provided The set A is a proper subset of the set B provided x is an element of the union of the sets A and B provided x is an element of the intersection of the sets A and B provided x is an element of the difference of the sets A and B provided x is an element of the complement of the set A provided The sets A and B are disjoint provided A set X is an element of the power set of the set A provided An ordered pair (a,b) is an element of the Cartesian product of the sets A and B provided
(Sets)- Part 2 q1
1. (x Є U)^(EA)
€ A-
2. (x AxЄ B) A (AB)
3. (x = A) A (x ЄE B)
4. (2 € A) + (x ∈ B)
5. (a Є A) ^ (b E B)
6. X CA
7. x ЄAA¬(x Є B)
8. (x = A) (x Є B)
9. (x Є A) V (x Є B)
10. AnB = 0
test 2 part q1 Page 1
ـل
WW
Transcribed Image Text:(Sets)- Part 2 q1 1. (x Є U)^(EA) € A- 2. (x AxЄ B) A (AB) 3. (x = A) A (x ЄE B) 4. (2 € A) + (x ∈ B) 5. (a Є A) ^ (b E B) 6. X CA 7. x ЄAA¬(x Є B) 8. (x = A) (x Є B) 9. (x Є A) V (x Є B) 10. AnB = 0 test 2 part q1 Page 1 ـل WW
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