Absolute Value Equations

Submitted by ladislav.foltyn on Sat, 03/02/2019 - 16:24
Project ID: 
6000000031
Accepted: 
SubArea: 
Absolute value equations and inequalities
Type: 
Match
Layout: 
6x6
Question: 
Match each of the given equations with the set containing all its roots.
Questions Title: 
Equations:
Answers Title: 
Sets:
Question 1: 
$|x-5|-1=0$
Answer 1: 

$[4;8)$

Question 2: 
$|x|-|x-5|=1$
Answer 2: 

$[3;4)$

Question 3: 
$|4x-8|=2$
Answer 3: 

$[1;3)$

Question 4: 
$x^2+|x+1|-1=0$
Answer 4: 

$[-1;1)$

Question 5: 
$|x-3|=|2x-1|$
Answer 5: 

$(-3;-1]\cup[1;2]$

Question 6: 
$|2-x|+|-x|=7$
Answer 6: 

$(-\infty;-2)\cup(4;\infty)$

Tex: 
% tiket 32916 \NastavOT{2} \NastavOD{2}