Prove that the given relation is an equivalence relation, and describe the distinct equivalence classes of this relation. A is the set of all students at your college. S is the relation defined on A as follows: For every x, y E A, x S y → x is the same age as y.
Prove that the given relation is an equivalence relation, and describe the distinct equivalence classes of this relation. A is the set of all students at your college. S is the relation defined on A as follows: For every x, y E A, x S y → x is the same age as y.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![Prove that the given relation is an equivalence relation, and describe the distinct equivalence
classes of this relation.
A is the set of all students at your college. S is the relation defined on A as follows:
For every x, y E A, x S y → x is the same age as y.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b4acbd3-f4ec-4b26-95f1-be8253df23ae%2Ffad6d1b9-da5b-4d0a-a1e5-ba3716f19b47%2Fz4tjbm4_processed.png&w=3840&q=75)
Transcribed Image Text:Prove that the given relation is an equivalence relation, and describe the distinct equivalence
classes of this relation.
A is the set of all students at your college. S is the relation defined on A as follows:
For every x, y E A, x S y → x is the same age as y.
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