Results 1 to 2 of 2

Math Help - prove inequality

  1. #1
    Junior Member
    Joined
    Feb 2007
    Posts
    32

    Thumbs down prove inequality

    I have to prove that x<(x+y)/2<y and x<y can any one help me?
    also I am having problems with if x is less then or equal to 0
    y is less then or equal to 0
    then prove (xy)^1/2 less then or equal to x+y/2
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by schinb64 View Post
    I have to prove that x<(x+y)/2<y and x<y can any one help me?
    We know that,
    x=x
    Now I am going to add "x" to the left side.
    And "y" to the right side.
    But y>x.
    Thus,
    x+x<x+y
    2x<x+y
    Thus, (divide by 2 which is a positive number),
    x<(x+y)/2

    The case,
    (x+y)/2<y
    I leave to you to prove.
    (Hint: It is similar to how I did it)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Prove an inequality
    Posted in the Algebra Forum
    Replies: 3
    Last Post: December 18th 2010, 04:34 AM
  2. How to prove this Inequality?
    Posted in the Trigonometry Forum
    Replies: 13
    Last Post: October 24th 2010, 08:37 PM
  3. Prove this inequality
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: October 16th 2008, 05:08 AM
  4. prove inequality
    Posted in the Algebra Forum
    Replies: 4
    Last Post: September 3rd 2008, 12:56 PM
  5. Try to prove this inequality
    Posted in the Advanced Math Topics Forum
    Replies: 2
    Last Post: October 26th 2007, 08:50 AM

Search Tags


/mathhelpforum @mathhelpforum