\(\Leftrightarrow\dfrac{3\left(x+1\right)-5\left(x-2\right)}{15}>\dfrac{7}{15}\)
\(\Leftrightarrow3\left(x+1\right)-5\left(x-2\right)>7\)
\(\Leftrightarrow3x+3-5x+10>7\)
\(\Leftrightarrow-2x>-6\)
\(\Leftrightarrow x< 3\)
Vậy \(S=\left\{x|x< 3\right\}\)
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