Results 1 to 3 of 3

Math Help - Inequality problem

  1. #1
    Newbie
    Joined
    Sep 2008
    From
    Stockholm
    Posts
    15

    Inequality problem

    Hi!
    I need some help to get started With this problem.

    For wich x is, x+ \frac{\mid (x-1)\mid }{\mid x \mid}>1

    Next step i did was x+\frac{\mid (x-1)\mid }{\mid x \mid}-1>0

    Now I have an equation on the left side x+\frac{\mid (x-1)\mid }{\mid x \mid}-1=0

    So how do I proceed now to solve this equation with a pice of paper and a pencil ?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2008
    From
    West Malaysia
    Posts
    1,261
    Quote Originally Posted by Kluringen View Post
    Hi!
    I need some help to get started With this problem.

    For wich x is, x+ \frac{\mid (x-1)\mid }{\mid x \mid}>1

    Next step i did was x+\frac{\mid (x-1)\mid }{\mid x \mid}-1>0

    Now I have an equation on the left side x+\frac{\mid (x-1)\mid }{\mid x \mid}-1=0

    So how do I proceed now to solve this equation with a pice of paper and a pencil ?
    HI
    Obviously , x cant be 0

    Since we know that |x| > 0

    so its perfectly fine to do this :

    |x-1|>|x|

    (x-1)^2>x^2

    x^2-2x+1-x^2>0

    1-2x>0

    I am sure you can continue here .
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Math Engineering Student
    Krizalid's Avatar
    Joined
    Mar 2007
    From
    Santiago, Chile
    Posts
    3,654
    Thanks
    11
    you dealt with the wrong inequality.

    the problem is actually x+\frac{|x-1|}{|x|}>1, but we can take your assumptions so this is x|x|+|x-1|>|x|, so in order to solve this, we require so study three cases:

    • x<0.
    • 0<x<1.
    • x>1.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Inequality Problem
    Posted in the Algebra Forum
    Replies: 6
    Last Post: February 22nd 2011, 02:09 AM
  2. Inequality Problem
    Posted in the Pre-Calculus Forum
    Replies: 11
    Last Post: October 22nd 2010, 10:56 AM
  3. inequality problem =.=
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: May 17th 2010, 01:18 AM
  4. Inequality Problem
    Posted in the Algebra Forum
    Replies: 0
    Last Post: April 4th 2008, 12:36 PM
  5. [SOLVED] inequality problem
    Posted in the Algebra Forum
    Replies: 6
    Last Post: June 25th 2007, 01:59 PM

Search Tags


/mathhelpforum @mathhelpforum