Q4) Let S be the set of registration numbers of students enrolled in a BSCS program in a university as S = {1912189, 1912239}. A relation R is defined on S as follows: “V p. q E S.pR qep and q have 6th digit same of their registration numbers." Determine whether the given relation is an equivalence relation or not? If yes, mention the partition of the set S and write the equivalence classes.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q4) Let S be the set of registration numbers of students enrolled in a
BSCS program in a university as S = {1912189, 1912239}.
A relation R is defined on S as follows:
“V p, q E S, p R q =p and q have 6th digit same of their
registration numbers."
Determine whether the given relation is an equivalence relation
or not? If yes, mention the partition of the set S and write the
equivalence classes.
Transcribed Image Text:Q4) Let S be the set of registration numbers of students enrolled in a BSCS program in a university as S = {1912189, 1912239}. A relation R is defined on S as follows: “V p, q E S, p R q =p and q have 6th digit same of their registration numbers." Determine whether the given relation is an equivalence relation or not? If yes, mention the partition of the set S and write the equivalence classes.
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