Results 1 to 2 of 2

Math Help - Inequalities Algebraically #2

  1. #1
    Newbie
    Joined
    Nov 2007
    Posts
    9

    Inequalities Algebraically #2

    Solve the following inequalities algebraically. Express the answer in interval notation and graph the solution set on a number line.

    x/x+3>2

    To clarify the problem, the first x is the numerator and the x+3 is the denominator.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Math Engineering Student
    Krizalid's Avatar
    Joined
    Mar 2007
    From
    Santiago, Chile
    Posts
    3,654
    Thanks
    12
    \begin{aligned}<br />
  \frac{x}<br />
{{x + 3}} - 2 &> 0\\<br />
  \frac{{x - 2(x + 3)}}<br />
{{x + 3}} &> 0\\<br />
  \frac{{x - 2x - 6}}<br />
{{x + 3}} &> 0 \\<br />
   - \frac{{x + 6}}<br />
{{x + 3}} &> 0\\<br />
  \frac{{x + 6}}<br />
{{x + 3}} &< 0.<br />
\end{aligned}

    We require that x+6<0 & x+3>0 or x+6>0 & x+3<0.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. How do you simplify this algebraically?
    Posted in the Algebra Forum
    Replies: 4
    Last Post: September 17th 2010, 04:46 AM
  2. Solving Algebraically.
    Posted in the Algebra Forum
    Replies: 5
    Last Post: May 12th 2009, 11:54 AM
  3. write algebraically
    Posted in the Algebra Forum
    Replies: 2
    Last Post: April 20th 2008, 06:30 PM
  4. Inequalities Algebraically
    Posted in the Algebra Forum
    Replies: 1
    Last Post: February 2nd 2008, 07:31 PM
  5. Solving inequalities algebraically
    Posted in the Algebra Forum
    Replies: 3
    Last Post: December 25th 2007, 09:58 AM

Search Tags


/mathhelpforum @mathhelpforum