Suppose 2x/x+3 > 1/x+3. Solve for x. Show work. I don\'t know how to do this so

Question

Suppose 2x/x+3 > 1/x+3. Solve for x. Show work.

I don't know how to do this so if you could help I would reallyappreciate it.

Explanation / Answer

2x / ( x + 3 ) > 1 / ( x + 3)               we will multiply both sides by x + 3 . However, thereare two cases                                                          Case one is where x + 3 is positive   and Case twowhere x + 3 is negative a)       2x >1      , where    x + 3> 0 , thus   x > -3            x > 1/2     which does meet the requirementthat    x > -3 b)        2x < 1     where    x + 3

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