\(\dfrac{x+1}{2013}+\dfrac{x+5}{2009}+\dfrac{x+9}{2005}>-3\)
\(\Leftrightarrow\)\(\dfrac{x+2014}{2013}+\dfrac{x+2014}{2009}+\dfrac{x+2014}{2005}>0\)
\(\Leftrightarrow\)(x+2014)(\(\dfrac{1}{2013}+\dfrac{1}{2009}+\dfrac{1}{2005}\))>0
Vì \(\dfrac{1}{2013}+\dfrac{1}{2009}+\dfrac{1}{2005}>0\) nên x+2014>0
\(\Leftrightarrow\)x>-2014