\(a_1,\sqrt{x}< 7\\ \Rightarrow x< 49\\ a_2,\sqrt{2x}< 6\\ \Rightarrow x< 18\\ a_3,\sqrt{4x}\ge4\\ \Rightarrow4x\ge16\\ \Rightarrow x\ge4\\ a_4,\sqrt{x}< \sqrt{6}\\ \Rightarrow x< 6\)

\(b_1,\sqrt{x}>4\\ \Rightarrow x>16\\ b_2,\sqrt{2x}\le2\\ \Rightarrow2x\le4\\ \Rightarrow x\le2\\ b_3,\sqrt{3x}\le\sqrt{9}\\ \Rightarrow3x\le9\\ \Rightarrow x\le3\\ b_4,\sqrt{7x}\le\sqrt{35}\\ \Rightarrow7x\le35\\ \Rightarrow x\le5\)

Mình cám ơn Hà Quang Minh rất nhiều

\(\sqrt{x}>2\Leftrightarrow x>4\)

\(5>\sqrt{x}\Leftrightarrow x< 25\)

\(\sqrt{x}< \sqrt{10}\Leftrightarrow x< 10\)( x không âm )

\(\sqrt{3x}< 3\Leftrightarrow3x< 9\Leftrightarrow x< 3\)

\(14\ge7\sqrt{2x}\Leftrightarrow\sqrt{2x}\le2\Leftrightarrow2x\le4\Leftrightarrow x\le2\)

Tham khảo nhé~

\(1.\sqrt{x}>2\left(Đk:x\ge0\right)\\ \Leftrightarrow\sqrt{x}>\sqrt{4}\)

\(\Leftrightarrow x>4\)

\(a,9-4\sqrt{x}=1\Rightarrow-4\sqrt{x}=-8\)

\(\Rightarrow\sqrt{x}=2\Leftrightarrow x=4\)

\(b,\sqrt{\frac{x}{5}}=4\Rightarrow\frac{x}{5}=16\)

\(\Rightarrow x=5.16=80\)

\(c,\sqrt{7x}< 9\Leftrightarrow7x< 81\)

\(\Rightarrow x< \frac{81}{7}\)Và \(x\ge0\)

\(\Rightarrow0\le x< \frac{81}{7}\)

Câu 5: B

Câu 3:

a: ĐKXĐ: \(\left\{{}\begin{matrix}x>=0\\x\ne4\end{matrix}\right.\)

b: \(P=\left(\dfrac{\sqrt{x}}{\sqrt{x}-2}+\dfrac{\sqrt{x}}{\sqrt{x}+2}\right):\dfrac{2\sqrt{x}}{x-4}\)

\(=\dfrac{\sqrt{x}\left(\sqrt{x}+2\right)+\sqrt{x}\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}\cdot\dfrac{x-4}{2\sqrt{x}}\)

\(=\dfrac{x+2\sqrt{x}+x-2\sqrt{x}}{x-4}\cdot\dfrac{x-4}{2\sqrt{x}}\)

\(=\dfrac{2x}{2\sqrt{x}}=\sqrt{x}\)

c: Để P>4 thì \(\sqrt{x}>4\)

=>x>16

/ kí hiệu là trên

không x=-4,theo mk là z