mathmath333
  • mathmath333
True or False (relation and functions)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
mathmath333
  • mathmath333
let \(\large R\) 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 ? \(1.) \) \((a,a)\ \in \mathbb{N}\) \(2.) \) \((a,b)\ \in R \implies (b,a)\ \in R\) \(3.) \) \((a,b)\ \in R, (b,c)\ \in R\ \implies (a,c) \in R\)
mathmath333
  • mathmath333
@peachpi
anonymous
  • anonymous
is (5,5) in R?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

mathmath333
  • mathmath333
no
anonymous
  • anonymous
suppose (5,25) is in R, is (25,5) in R?
mathmath333
  • mathmath333
no
anonymous
  • anonymous
good. Try the last one
anonymous
  • anonymous
Btw, 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
  • mathmath333
last one is false ?
mathmath333
  • mathmath333
yes it was written as \((a,a)\ \in \mathbb{N}\) for all \(a\ \in \mathbb{N}\) forgot to write that
anonymous
  • anonymous
good. So the first two are definitely false.
anonymous
  • anonymous
Typo. I meant to say if (25,5) is in R, then is (5,25) in R in part 2.
mathmath333
  • mathmath333
false
anonymous
  • anonymous
ok. You said part c is false? Can you give a counterexample?
mathmath333
  • mathmath333
(1,1) , (1,1) -> (1,1)
anonymous
  • anonymous
ok, but is true for ALL natural n?
mathmath333
  • mathmath333
no
anonymous
  • anonymous
well. (256, 16) and (16, 4) are both in R, but (256,4) is not in R
mathmath333
  • mathmath333
so false
anonymous
  • anonymous
yeah
mathmath333
  • mathmath333
ok thnx , it was easy i thought it was a way too hard

Looking for something else?

Not the answer you are looking for? Search for more explanations.