Question

a) √x < 5 b) √x = 10 c) √xᒾ = 7 d) √xᒾ = |-8|

Answer 1

\(a,\sqrt{x}< 5\Leftrightarrow x< 25\\ b,\sqrt{x}=10\Leftrightarrow x=100\\ c,\sqrt{x^2}=7\Leftrightarrow\left|x\right|=7\Leftrightarrow\left[{}\begin{matrix}x=7\\x=-7\end{matrix}\right.\\ d,\sqrt{x^2}=\left|-8\right|\Leftrightarrow\left|x\right|=8\Leftrightarrow\left[{}\begin{matrix}x=8\\x=-8\end{matrix}\right.\)

Answer 2

a) \(\sqrt{x}< 5\text{⇒}x< 25\)

b) \(\sqrt{x}=10\text{⇒}x=100\)

c) \(\sqrt{x^2}=7\text{⇒}x^2=49\text{⇒}x=+-7\)

d) \(\sqrt{x^2}=\left|-8\right|\text{⇒}x^2=64\text{⇒}x=+-8\)