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--- V ---Select--- ✓ by definition of ---Select--- ✓ Now ---Select--- because R is ---Select--- and --Select--- because S is ---Select--- ✓ Thus, ---Select-- E ---Select--- ✓ by definition of ---Select--- Since x and y could be any elements of A, this shows that for ---Select---- elements x and y in A, if (x, y) ER n S, then ---Select--- ✓ ? ✓ ---Select--- ✓ Hence, R n S ---Select--- ✓ symmetric.

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--- V ---Select--- ✓ by definition of ---Select--- ✓ Now ---Select--- because R is ---Select--- and --Select--- because S is ---Select--- ✓ Thus, ---Select-- E ---Select--- ✓ by definition of ---Select--- Since x and y could be any elements of A, this shows that for ---Select---- elements x and y in A, if (x, y) ER n S, then ---Select--- ✓ ? ✓ ---Select--- ✓ Hence, R n S ---Select--- ✓ symmetric.

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...

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