\(\dfrac{2x+1}{3}-\dfrac{x-4}{4}< \dfrac{3x+1}{6}-\dfrac{x-4}{12}\)
\(\Leftrightarrow\dfrac{8x+4}{12}-\dfrac{3x-12}{12}< \dfrac{6x+2}{12}-\dfrac{x-4}{12}\)
\(\Rightarrow\) 8x+4-3x+12<6x+2-x+4
\(\Leftrightarrow\) 8x-3x-6x+x<2+4-12-4
\(\Leftrightarrow\) 0x<-10 (vô nghiệm)