9.\(\sqrt{x}>1\) ; \(\left(x\ge0\right)\)
\(\Leftrightarrow\left(\sqrt{x}\right)^2>1^2\)
\(\Leftrightarrow x>1\)
Vậy \(S=\left\{x|x>1\right\}\)
10.\(-\sqrt{2x}>-3\) ; \(x\ge0\)
\(\Leftrightarrow\sqrt{2x}< 3\)
\(\Leftrightarrow2x< 9\)
\(\Leftrightarrow x< \dfrac{9}{2}\)
Vậy \(S=\left\{x|0\le x< \dfrac{9}{2}\right\}\)
11.\(\sqrt{2-x}< 4\) ; \(x\le2\)
\(\Leftrightarrow2-x< 16\)
\(\Leftrightarrow-x< 14\)
\(\Leftrightarrow x>-14\)
Vậy \(S=\left\{x|-14< x\le2\right\}\)
12.\(-\sqrt{2+x}< 4\)
\(\Rightarrow x\ge-2\)