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 8 months ago
Let R be the relation xRy if and only if x^2+1=y^2+1. Since it is an equivalence relation, list all the elements of the equivalence classes [1], [0], [1/4]
 8 months ago
Let R be the relation xRy if and only if x^2+1=y^2+1. Since it is an equivalence relation, list all the elements of the equivalence classes [1], [0], [1/4]

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kdekle
 8 months ago
Best ResponseYou've already chosen the best response.0I have already proven it's an equivalence relation but we didn't go over classes so much so I'm a bit confused

satellite73
 8 months ago
Best ResponseYou've already chosen the best response.3\[x^2+1=y^2+1\iff x^2=y^2\iff x=\pm y\]

satellite73
 8 months ago
Best ResponseYou've already chosen the best response.3therefore the equivalence class of \([1]\) is \(\{1,1\}\)

satellite73
 8 months ago
Best ResponseYou've already chosen the best response.3lot easier than the last one!

kdekle
 8 months ago
Best ResponseYou've already chosen the best response.0oh ok! So for [0] the only element is 0?

kdekle
 8 months ago
Best ResponseYou've already chosen the best response.0what about [1/4]?...would it just be {1/4, 1/4}?

satellite73
 8 months ago
Best ResponseYou've already chosen the best response.3as judge judy would say "the questions get harder"

kdekle
 8 months ago
Best ResponseYou've already chosen the best response.0so my answers are correct then?
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