1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Set Question

  1. Nov 17, 2003 #1
    help me with this question

    determine if the set
    A = { x : x [is an element of] Q | sqrt(2) < x < sqrt(3) }
    is an empty set.

    how to determine?
  2. jcsd
  3. Nov 17, 2003 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    The set

    x : x \in \mathbb{Q} \mid \sqrt{2} < x < \sqrt{3}

    just means "the set of all rational numbers that are between 1.41... and 1.73...

    All you have to do to show this set is not empty is to provide one example of a number in the set. How about 3/2?

    - Warren
  4. Nov 17, 2003 #3
    alrite. thank you..
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Set Question
  1. Quick question on sets (Replies: 4)