Results 1 to 2 of 2

Math Help - help....please if someone could help me with this question....

  1. #1
    Newbie
    Joined
    Mar 2010
    Posts
    1

    help....please if someone could help me with this question....

    i would really appreciate if someone could help me solve this problem for me....

    Suppose that A and B are two non-empty bounded sets of real numbers such that x≤ y for every x є A and b є B
    a) Show that the sets A = (6/7, 1) and B = { n/(n+1) l n є N } do not satisfy this condition.
    b) Show that if A and B are two non-empty bounded sets that satisfy the condition, then supA ≤ infB
    [N is set of natural numbers]
    thanks in advance....
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by qeetha8799 View Post
    i would really appreciate if someone could help me solve this problem for me....

    Suppose that A and B are two non-empty bounded sets of real numbers such that x≤ y for every x є A and b є B
    a) Show that the sets A = (6/7, 1) and B = { n/(n+1) l n є N } do not satisfy this condition.

    Well, 61\slash 70 \in A\,,\,\,3\slash 4\in B\,,\,\,but\,\,\,61\slash 70>3\slash 4 . On the other hand, 61\slash 70<100\slash 101\in B

    b) Show that if A and B are two non-empty bounded sets that satisfy the condition, then supA ≤ infB
    [N is set of natural numbers]

    Apply the definition of supremum and the conditio.

    Tonio

    thanks in advance....
    .
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum