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 10 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]
 10 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
 10 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
 10 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
 10 months ago
Best ResponseYou've already chosen the best response.3therefore the equivalence class of \([1]\) is \(\{1,1\}\)

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

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

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

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

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