kdekle
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
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I have already proven it's an equivalence relation but we didn't go over classes so much so I'm a bit confused
anonymous
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\[x^2+1=y^2+1\iff x^2=y^2\iff x=\pm y\]
anonymous
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therefore the equivalence class of \([1]\) is \(\{-1,1\}\)
anonymous
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lot easier than the last one!
kdekle
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oh ok! So for [0] the only element is 0?
kdekle
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what about [-1/4]?...would it just be {-1/4, 1/4}?
myininaya
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looks good
anonymous
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as judge judy would say
"the questions get harder"
kdekle
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so my answers are correct then?
anonymous
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yes
kdekle
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thank you@
anonymous
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yw