Respuesta :

√x > 6   | ²
⇒ x > 6² ⇒ x > 36  


Answer: A.

Hey!


First we'll find the region for [tex] \sqrt{x} [/tex].

[tex] \sqrt{x} [/tex] is real for [tex]x \geq 0[/tex].

So, the real region for [tex] \sqrt{x} [/tex] is [tex]x \geq 0[/tex]

Now, we'll simplify the [tex] \sqrt{x} \ \textgreater \ 6[/tex] by first squaring both sides. 

Old Equation :
[tex] \sqrt{x} \ \textgreater \ 6[/tex]

New Equation {Added Square Both Sides} :
[tex]( \sqrt{x} )^{2} \ \textgreater \ 6^{2} [/tex]

Solution {New Equation Solved} :
x > 36

So, this means that the solution to  [tex] \sqrt{x} \ \textgreater \ 6[/tex]  is  x > 36.

Hope this helps!


- Lindsey Frazier ♥
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