\(\left|2x+3\right|\ge18\)
\(\Leftrightarrow2x+3>18;2x+3< -18\)
*) \(2x+3>18\)
\(\Leftrightarrow2x>15\)
\(\Leftrightarrow x>\dfrac{15}{2}\)
*) \(2x+3< -18\)
\(\Leftrightarrow2x< -21\)
\(\Leftrightarrow x< -\dfrac{21}{2}\)
Vậy \(x>\dfrac{15}{2}\); \(x< -\dfrac{21}{2}\)
\(\left|2x+3\right|\ge18\)
\(\Leftrightarrow\left[{}\begin{matrix}2x+3\ge18\\2x+3\le-18\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x\ge\dfrac{15}{2}\\x\le-\dfrac{21}{2}\end{matrix}\right.\)