anonymous
  • anonymous
I'm trying to negate the statement '∀ x ∈ R, ∃ y ∈ R such that x^y ∈ Z', but am wondering is it ok to say that '∀ x ∈ R, ∃ y ∈ R, such that x^y is not a member of Z' ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Updating with the equation formatting: \[∀ x ∈ \mathbb{R}, ∃ y ∈ \mathbb{R}\] such that \[x ^{y} ∈ \mathbb{Z}\]
anonymous
  • anonymous
In plain English: 'for every x in the set of real numbers, there exists y in the set of real numbers such that x ^ y is in the set of integers'
anonymous
  • anonymous
I'm not sure how to negate it is the problem

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anonymous
  • anonymous
I think I got it, I just said that for every x in the set of real numbers, there exists y in the set of real numbers such that x raised to the y is not in the set of integers

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