\(\left(1\right)\dfrac{x-5}{4}-\dfrac{2x-1}{2}< 3\)
\(\Leftrightarrow\dfrac{x-5}{4}-\dfrac{2\left(2x-1\right)}{4}< 3\)
\(\Leftrightarrow\dfrac{x-5-4x+2}{2}< 3\)
\(\Leftrightarrow-3x-3< 6\)
\(\Leftrightarrow-3x< 9\)
\(\Leftrightarrow x>-3\)
\(\left(2\right)\dfrac{2x-3}{3}< \dfrac{x+1}{2}\)
\(\Leftrightarrow\dfrac{2x-3}{3}-\dfrac{x+1}{2}< 0\)
\(\Leftrightarrow\dfrac{2\left(2x-3\right)-3\left(x+1\right)}{6}< 0\)
\(\Leftrightarrow4x-6-3x-3< 0\)
\(\Leftrightarrow x-9< 0\)
\(\Leftrightarrow x< 9\)