Results 1 to 3 of 3

Thread: Finding the intersection of two interval notation sets: [1, ∞) & (-∞, 8)

  1. #1

    Finding the intersection of two interval notation sets: [1, ∞) & (-∞, 8)

    What is the intersection expressed in interval notation of two interval notation sets. The sets are the following: [1, ∞) & (-∞, 8) . My answer is [1,8) . Is this correct? My textbook does not have answers, lol.

  2. #2
    Elite Member
    Join Date
    Jun 2007
    Posts
    17,566
    Quote Originally Posted by chromechris View Post
    What is the intersection expressed in interval notation of two interval notation sets. The sets are the following: [1, ∞) & (-∞, 8) . My answer is [1,8) . Is this correct? My textbook does not have answers, lol.
    Looks good to me .....
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

  3. #3
    Junior Member
    Join Date
    Jan 2018
    Location
    Toronto
    Posts
    140
    Quote Originally Posted by chromechris View Post
    What is the intersection expressed in interval notation of two interval notation sets. The sets are the following: [1, ∞) & (-∞, 8) . My answer is [1,8) . Is this correct? My textbook does not have answers, lol.
    In this case it's not that hard to tell by inspection what the intersection is, but in general, what would you do to check that it's correct? Do you have any ideas?

    - do you think it might be useful to draw a real number line and look at the two sets and where they overlap?

    - if a number is in the intersection, that means it's in both sets. Could you imagine picking numbers from the intersection and checking to make sure that they are in both sets?

    It seems fairly obvious in this case, but you're still asking whether your answer is correct or not. That's why I want you to think about how you'd verify for yourself that it is.

Tags for this Thread

Bookmarks

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •