Nerovnice s odmocninami

Project ID: 
7100020086
Accepted: 
Typ: 
Layout: 
Question: 
Spárujte nerovnici s její množinou řešení.
Question 1: 
$\sqrt{x-1} > 1$
Answer 1: 
$(2;+\infty)$
Question 2: 
$\sqrt{x-1} < 1$
Answer 2: 
$\langle 1;2)$
Question 3: 
$\sqrt{2x-1} < 1$
Answer 3: 
$\left.\langle \frac12 ; 1 \right)$
Question 4: 
$\sqrt{3x+1} < 2$
Answer 4: 
$\left.\langle -\frac13; 1\right)$
Question 5: 
$\sqrt{x^2+1} \geq 1$
Answer 5: 
$\mathbb{R}$
Question 6: 
$\sqrt{2x-1} > 1$
Answer 6: 
$(1;+\infty)$
Question 7: 
$\sqrt{x^2+2} < 1$
Answer 7: 
$\emptyset$
Question 8: 
$\sqrt{x^2+3} > 2$
Answer 8: 
$\mathbb{R} \setminus \langle -1;1\rangle$
Question 9: 
$\sqrt{x^2+1} > 1$
Answer 9: 
$\mathbb{R}\setminus \{0\}$