\(x+\dfrac{2015}{2}+x+\dfrac{2013}{3}>-x-\dfrac{2013}{-4}-x-\dfrac{2012}{-5}\\ \Leftrightarrow x+1007.5+x+\dfrac{2014}{3}>\dfrac{2013x}{4}-x+402.4\\ \Leftrightarrow x+\dfrac{10075}{10}+x+\dfrac{2014}{3}>\dfrac{2013x}{4}-x+\dfrac{4024}{10}\\ \Leftrightarrow2x+\dfrac{2015}{2}+\dfrac{2014}{3}>\dfrac{2013x-4x}{4}+\dfrac{4024}{10}\\ \Leftrightarrow2x+\dfrac{6045+4028}{6}>\dfrac{2009x}{4}+\dfrac{4024}{10}\)
\(\Leftrightarrow2x+\dfrac{10073}{6}>\dfrac{2009x}{4}+\dfrac{4024}{10}\\ \Leftrightarrow120x+10.10073>15.2009x+6.4024\\ \Leftrightarrow120x+100730>30135x+24144\\ \Leftrightarrow-30015x>-76586\\ \Leftrightarrow x< \dfrac{76586}{30015}\)
Tập nghiệm \(S=\left\{x|x< \dfrac{76586}{30015}\right\}\)
