Bài cúi đúng hem :))
\(\Leftrightarrow\dfrac{4\left(5x^2-3\right)+5\left(3x-1\right)}{20}< \dfrac{10x\left(2x+3\right)-100}{20}\)
\(\Leftrightarrow4\left(5x^2-3\right)+5\left(3x-1\right)< 10x\left(2x+3\right)-100\)
\(\Leftrightarrow20x^2-12+15x-5< 20x^2+30x-100\)
\(\Leftrightarrow-15x< -83\)
\(\Leftrightarrow x>\dfrac{83}{15}\)
Vậy \(S=\left\{x|x>\dfrac{83}{15}\right\}\)
\(8,\dfrac{5x^2-3}{5}+\dfrac{3x-1}{4}< \dfrac{x\left(2x+3\right)}{2}-5\)
\(\Leftrightarrow4\left(5x^2-3\right)+5\left(3x-1\right)< 10x\left(2x+3\right)-100\)
\(\Leftrightarrow20x^2-12+15x-5< 20x^2+30x-100\)
\(\Leftrightarrow20x^2-20x^2+15x-30x-12-5+100< 0\)
\(\Leftrightarrow-15x+83< 0\)
\(\Leftrightarrow-15x< -83\)
\(\Leftrightarrow x>\dfrac{83}{15}\)
Vậy \(S=\left\{x\left|x>\dfrac{83}{15}\right|\right\}\)