Olimov Olimboy 2 – Topshiriq A,B  m   to`plamlar uchun quyidagilarni aniqlang

931 – 19 guruhi talabasi
Olimov Olimboy
2 – Topshiriq
1 . A,B  M 1,...,20  to`plamlar uchun quyidagilarni aniqlang:
A B, A B, A\B, B\A, A B, A B.
1.19 A={4,5,6} B={12,13,15 }

1. 
   A B={4,5,6} {12,13,15}={4,5,6,12,13,15,};
   
2. 
   2) A B={4,5,6} {12,13,15}=
   
3. 
   3) A\B={4,5,6}\{12,13,15}={4,5,6};
   
4. 
   ) B\A={12,13,15}\{4,5,6}={12,13,15};
   

5. 
   A B={3,5,7} {1,3,5}= ;
   

6. 
   A B=(A\B) (B\A)={4,5,6} {12,13,15}={4,5,6,12,13,15};
   

2.Quyidagi tengliklarni isbot qiling

6. (A\B)\C=(A\C)\(B\C)

A={a,b,c} B={b,c,d} C={c,d,e}

1. 
   A\B={a,b,c}\{b,c,d}={a} A\B={a}
   

(A\B)\C={a}\{c,d,e} {a}
2)
A\C={a,b,c}\{c,d,e}={a,b} A\C={a,b}
B\C={b,c,d}\{c,d,e}={b} B\C={b}
(A\C)\(B\C)={a,b}\{b} {a} ISBOTLANDI!

3.Masala:
6. Shaxarda 42 turistdan 25 tasi ingliz, 28 tasi nemis tilini biladi. Ulardan nechtasi faqat nemis tilini, nechtasi faqat ingliz tilini, nechtasi ikkala tilni ham biladi ?
Yechish:
U=42 - Jami U= Universal toplam
A-? B-? C-?
A – Ingliz tilini biladiganlar
B – Nemis tilini biladiganlar
C ikkala tilni xam biladiganlar
Tenglama:
A=25-x B=28-x C=x A+B+C=U
25-x+x+28-x=42
X=11 C=11 A=14 B=17