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a. R is the relation defined on A as follows: For all x and y in A, x Ry ⇒ x has the same major (or double major) as y. (Assume "undeclared" is a major.) b. S is the relation defined on A as follows: For all x, y e A, x Sy ⇒ x is the same age as y.

a. R is the relation defined on A as follows: For all x and y in A, x Ry ⇒ x has the same major (or double major) as y. (Assume "undeclared" is a major.) b. S is the relation defined on A as follows: For all x, y e A, x Sy ⇒ x is the same age as y.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 7CA
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(1) Prove that the relation is an equivalence relation, and
(2) Describe the distinct equivalence classes of reach relation.

17. A is the set of all students at your college. a. R is the relation defined on A as follows: For all x and y in A. x Ryx has the same major (or double major) as y. (Assume "undeclared" is a major.) b. S is the relation defined on A as follows: For all x, y e A, HOU x is the same age as y. x Sy ⇒
Transcribed Image Text:17. A is the set of all students at your college. a. R is the relation defined on A as follows: For all x and y in A. x Ryx has the same major (or double major) as y. (Assume "undeclared" is a major.) b. S is the relation defined on A as follows: For all x, y e A, HOU x is the same age as y. x Sy ⇒
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