a.\(\dfrac{1}{4}\left(x-1\right)\ge\dfrac{x-4}{6}\)
\(\Leftrightarrow\) \(\dfrac{1}{4}\left(x-1\right)12\ge\dfrac{x-4}{6}12\)
\(\Leftrightarrow3\left(x-1\right)\ge2\left(x-4\right)\)
\(\Leftrightarrow3x-3\ge2x-8\)
\(\Leftrightarrow3x-2x\ge-8+3\)
\(\Leftrightarrow x\ge-5\)
b.\(\dfrac{x-2}{4}\ge\dfrac{1}{3}\left(x-3\right)\)
\(\Leftrightarrow\dfrac{x-2}{4}12\ge\dfrac{1}{3}\left(x-3\right)12\)
\(\Leftrightarrow3\left(x-2\right)\ge4\left(x-3\right)\)
\(\Leftrightarrow3x-6\ge4x-12\)
\(\Leftrightarrow3x-4x\ge-12+6\)
\(\Leftrightarrow x\ge-6\)
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