Question

Zaznacz na osi liczbowej zbiory A i B a następnie wyznacz zbiory AuB AnB A-B B-a jeśli :
a) A= (-∞,5) B= (2,6>
b) A <-5,5> B=<-2,2>


Proszę o pomoc daje najj pilne!!!

Answer 1

Zaznacz na osi liczbowej zbiory A i B a następnie wyznacz zbiory A⋃ B A⋂ B A-B B-A jeśli :

a) A = (-∞;5) B = (2;6>

-∞ -------------------->5                                 
|||||||||||||||||||||||||||||o-----------------------------> A = (-∞;5)
               2<------------->6        
-------------o\\\\\\\\\\\\\\\\\\\\•-----------------------> B = (2,6>
-∞----------------------------> 6
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\•-----------------------> A⋃ B = (-∞;6>
                2<------->5
--------------o\\\\\\\\\\\o-----------------------------> A⋂ B = (2;5)
-∞--------->2
\\\\\\\\\\\\\\\\\•----------------------------------------> A - B = (-∞;2>
                             5<-->6
-------------------------•\\\\\\\•----------------------> B - A = <5;6>

b) A <-5,5> B=<-2,2>

         -5<---------------------------->5                   
---------•\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\•--------------> A = <-5,5>
                    -2<---------->2
------------------•|||||||||||||||||•----------------------> B = <-2,2>
        
          -5                                     5                   
---------•\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\•--------------> A⋃ B = <-5,5>
                    -2               2
------------------•\\\\\\\\\\\\\\\\•------------------------> A⋂ B = <-2,2>
          -5        -2               2         5
----------•/////////o-------------o/////////•--------------> A - B = <-5;-2)⋃ (2;5>
                
----------------------------------------------------------> B - A = ∅