Results 1 to 3 of 3

Math Help - Proving Inequalities

  1. #1
    Banned
    Joined
    Jan 2007
    Posts
    315

    Proving Inequalities

    I needed to type the questions again because there was a typing mistake this morning when I originally posted the math questions.

    QUESTION 1:

    If a > 0, show that the solution set of the inequality x^2 < a consists of all numbers x for which -(sqrt{a}) < x < (sqrt{a}).

    QUESTION 2:

    If a > 0, show that the solution set of the inequality x^2 > a consists of all numbers x for which x > (sqrt{a}) OR x < -(sqrt{a}).

    I hope this makes sense now.

    Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by symmetry View Post
    QUESTION 2:

    If a > 0, show that the solution set of the inequality x^2 > a consists of all numbers x for which x > (sqrt{a}) OR x < -(sqrt{a}).
    Both ImPerfectHacker and CaptainBlack did this one in the other thread
    as far as I can recall, and the other is a direct consequence of this result.

    RonL
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Banned
    Joined
    Jan 2007
    Posts
    315

    ok

    So, basically there is no need to go over the second part of the question?

    Yes? No?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. proving integral inequalities
    Posted in the Calculus Forum
    Replies: 7
    Last Post: December 15th 2011, 10:33 AM
  2. proving rational number inequalities
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: April 22nd 2011, 05:48 PM
  3. Simple proving the inequalities
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: September 8th 2010, 06:29 PM
  4. [SOLVED] Proving inequalities
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: September 14th 2009, 04:20 AM
  5. Proving Inequalities
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: September 1st 2005, 02:25 PM

Search Tags


/mathhelpforum @mathhelpforum