A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mathmath333

  • one year ago

set theory

  • This Question is Closed
  1. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    State which of the following sets are finite or infinite : \(\large \color{black}{\begin{align}& (i)\ \{x : x \in \mathbb{N} \ \ and \ \ (x – 1) (x –2) = 0\} \hspace{.33em}\\~\\ & (ii)\ \{x : x \in \mathbb{N} \ \ and \ \ x^{2} = 4\} \hspace{.33em}\\~\\ & (iii)\ \{x : x \in \mathbb{N} \ \ and \ \ 2x –1 = 0\} \hspace{.33em}\\~\\ \end{align}}\)

  2. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    sorry I've done this stuff in the past but i cant recall it well enough.

  3. ikram002p
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    well lets try each one condition solution :)

  4. ikram002p
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    to me i and ii are finite and iii is Empty which is also finite

  5. ikram002p
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    in which way this confuses u @mathmath333 ??

  6. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    prove that an empty set is finite set

  7. ikram002p
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    awww thats so cute question :P

  8. ikram002p
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    i have many proves the most lovely one is using this :- there are infinite subsets of an infinite set and there are finite subsets of a finite set. thus subsets of an Empty set is ( 2^0=1) which is finite QED.

  9. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    does empty set has a subset

  10. ikram002p
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yes it does have 1 subset which is also an empty set (itself only)

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.