a) \(\dfrac{3x-2}{4}\ge\dfrac{3x+3}{6}\)
\(\Leftrightarrow\dfrac{3\left(3x-2\right)}{12}\ge\dfrac{2\left(3x+3\right)}{12}\)
\(\Leftrightarrow9x-6\ge6x+6\)
\(\Leftrightarrow9x-6x\ge6+6\)
\(\Leftrightarrow3x\ge12\)
\(\Leftrightarrow x\ge4\)
b) \(\left(x+2\right)^2< \left(x-5\right)^2\)
\(\Leftrightarrow x^2+4x+4< x^2-10x+25\)
\(\Leftrightarrow x^2-x^2+4x+10x< 25-4\)
\(\Leftrightarrow14x< 21\)
\(\Leftrightarrow x< \dfrac{3}{2}\)
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