a, \(8x\ge9\Leftrightarrow x\ge\dfrac{9}{8}\)
b, \(3-2x\le5x-35\Leftrightarrow7x\le38\Leftrightarrow x\le\dfrac{38}{7}\)
c, \(\dfrac{3x-9+2x+1-30x}{15}\ge0\Rightarrow-25x-8\ge0\Leftrightarrow x\le-\dfrac{8}{25}\)
d, \(x^2-6x+9-x^2+1< 4x+5\Leftrightarrow-6x+10< 4x+5\)
\(\Leftrightarrow10x>5\Leftrightarrow x>\dfrac{1}{2}\)