Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Assume that R and S are symmetric relations on a set A. Is R n S symmetric? Fill in the blanks to answer this question. Suppose x and y are any elements of A such that (x, y) is in R n S. Since (x, y) ER n S, then (x, y) ER ---Select--- ✓ ---Select--- ✓ by definition of ---Select--- ✓ Now ---Select-- ✓ because R is ---Select--- and ---Select--- Thus, ---Select--- E ---Select--- ✓ by definition of ---Select--- ✓ because S is ---Select--- Since x and y could be any elements of A, this shows that for ---Select--- Hence, R n S ---Select--- ✓ symmetric. elements x and y in A, if (x, y) ER n S, then ---Select--- ? |---Select--- ✓

Assume that R and S are symmetric relations on a set A. Is R n S symmetric? Fill in the blanks to answer this question. Suppose x and y are any elements of A such that (x, y) is in R n S. Since (x, y) ER n S, then (x, y) ER ---Select--- ✓ ---Select--- ✓ by definition of ---Select--- ✓ Now ---Select-- ✓ because R is ---Select--- and ---Select--- Thus, ---Select--- E ---Select--- ✓ by definition of ---Select--- ✓ because S is ---Select--- Since x and y could be any elements of A, this shows that for ---Select--- Hence, R n S ---Select--- ✓ symmetric. elements x and y in A, if (x, y) ER n S, then ---Select--- ? |---Select--- ✓

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 17E: Does the relation is a brother of have a reflexive property consider one male? A symmetric property...
See similar textbooks
icon
Related questions
Question

need help

Assume that R and S are symmetric relations on a set A. Is R n S symmetric? Fill in the blanks to answer this question. Suppose x and y are any elements of A such that (x, y) is in R n S. Since (x, y) ER n S, then (x, y) ER ---Select--- ✓ ---Select--- ✓ by definition of ---Select--- ✓ Now ---Select-- ✓ because R is ---Select--- and ---Select--- Thus, ---Select--- E ---Select--- ✓ by definition of ---Select--- ✓ because S is ---Select--- Since x and y could be any elements of A, this shows that for ---Select--- Hence, R n S ---Select--- ✓ symmetric. elements x and y in A, if (x, y) ER n S, then ---Select--- ? |---Select--- ✓
Transcribed Image Text:Assume that R and S are symmetric relations on a set A. Is R n S symmetric? Fill in the blanks to answer this question. Suppose x and y are any elements of A such that (x, y) is in R n S. Since (x, y) ER n S, then (x, y) ER ---Select--- ✓ ---Select--- ✓ by definition of ---Select--- ✓ Now ---Select-- ✓ because R is ---Select--- and ---Select--- Thus, ---Select--- E ---Select--- ✓ by definition of ---Select--- ✓ because S is ---Select--- Since x and y could be any elements of A, this shows that for ---Select--- Hence, R n S ---Select--- ✓ symmetric. elements x and y in A, if (x, y) ER n S, then ---Select--- ? |---Select--- ✓
Expert Solution
steps

Step by step

Solved in 1 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS