Parameter in Absolute Value Equations

Submitted by ladislav.foltyn on Sat, 03/02/2019 - 15:56
Project ID: 
6000000030
Accepted: 
SubArea: 
Absolute value equations and inequalities
Type: 
Match
Layout: 
6x6
Question: 
Match each of the given equations, where $x$ is a real variable, with all possible values of the parameter $t$ for which the equation has at least one solution.
Questions Title: 
Equations:
Answers Title: 
Values of parameter $t$:
Question 1: 
$|x-5|=t$
Answer 1: 

$[0;\infty)$

Question 2: 
$|x+3|+2=t$
Answer 2: 

$[2;\infty)$

Question 3: 
$t-|x+2|=3$
Answer 3: 

$[3;\infty)$

Question 4: 
$2t+|x-3|=2$
Answer 4: 

$(-\infty;1]$

Question 5: 
$|t-2|=x+3$
Answer 5: 

$\mathbb{R}$

Question 6: 
$|x-4|=3-t$
Answer 6: 

$(-\infty;3]$

Tex: 
%tiket 32677 \NastavOT{2} \NastavOD{3}