A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Let S be the set of all non-negative multiples of 4 (0,4,8,12 and so on). S is closed with respect to which ordinary operation?

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    addition if you add two multiples of 4 then you will get a multiple of 4 for a sort of proof let A and B be constants , therefore the sum of two multiples of 4 is given by S = 4A + 4B = 4 (A+B ) , which is indeed another multiple of 4

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Also , 4A x 4B = 16AB = (4AB) x (4)

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so it is also closed under multiplication and since addition and subtraction are opposites and multiplication and divisions are opposites then it is closed under all operations

  4. 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.