7. Which of these relations on the set of all people are equivalence relation? a) {(x, y)\x and y are the same age} b) {(x, y)\x and y have the same parents} c) {(x,y)|x and y share a common parent}
7. Which of these relations on the set of all people are equivalence relation? a) {(x, y)\x and y are the same age} b) {(x, y)\x and y have the same parents} c) {(x,y)|x and y share a common parent}
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of these relations on the set of all people are equivalence relation?

Transcribed Image Text:7. Which of these relations on the set of all people are equivalence relation?
a) {(x, y)|x and y are the same age}
b) {(x, y)|x and y have the same parents}
c) {(x,y)|x and y share a common parent}
d) {(x, y)\x and y have met}
e) {(x, y)|x and y speak a common language}
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