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mathmath333
 one year ago
True or False (relation and functions)
mathmath333
 one year ago
True or False (relation and functions)

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mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0let \(\large R\) be a relation from \(\large \mathbb{N}\) to \(\large \mathbb{N}\) defined by \(\large \color{black}{\begin{align} R=\{(a,b):a,b \ \in \mathbb{N} \ \text{and} \ a=b^2 \} \hspace{.33em}\\~\\ \end{align}}\) are the following true ? \(1.) \) \((a,a)\ \in \mathbb{N}\) \(2.) \) \((a,b)\ \in R \implies (b,a)\ \in R\) \(3.) \) \((a,b)\ \in R, (b,c)\ \in R\ \implies (a,c) \in R\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0suppose (5,25) is in R, is (25,5) in R?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0good. Try the last one

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Btw, i'm assuming the questions means *for all natural n*. The first one is true if a = 1 and b = 1 but not true for other natural

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0last one is false ?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0yes it was written as \((a,a)\ \in \mathbb{N}\) for all \(a\ \in \mathbb{N}\) forgot to write that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0good. So the first two are definitely false.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Typo. I meant to say if (25,5) is in R, then is (5,25) in R in part 2.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok. You said part c is false? Can you give a counterexample?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0(1,1) , (1,1) > (1,1)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, but is true for ALL natural n?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well. (256, 16) and (16, 4) are both in R, but (256,4) is not in R

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0ok thnx , it was easy i thought it was a way too hard
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