Absolute Value Equations with Parameter

Submitted by ladislav.foltyn on Sat, 03/02/2019 - 15:56
Project ID: 
6000000030
Accepted: 
SubArea: 
Equations and inequalities with parameters
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;∞)

Question 2: 
|x+3|+2=t
Answer 2: 

[2;∞)

Question 3: 
t−|x+2|=3
Answer 3: 

[3;∞)

Question 4: 
2t+|x−3|=2
Answer 4: 

(−∞;1]

Question 5: 
|t−2|=x+3
Answer 5: 

R

Question 6: 
|x−4|=3−t
Answer 6: 

(−∞;3]

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