Question

Fie A={X l X E N și x <5 } ; B= {X l X E N și 3 < sau egal 8} ; C={ 0,1,2,4,5,6,9}, calculați : a) AUB; b) AUC ; c) A U întors B; d) A U întors C ; e) A \B ; f) B\C ; g) C\A; h) C\B; i) (A\B) U (B\A); j)(A\C) U (C\A); k)(B\C) U(C\B); i)(A u întors B U întors C

Answer 1

A= {0,1,2,3,4} , B ={4,5,6,7,8} , C={0,1,2,4,5,6,9} 
a) AUB ={ 0,1,2,3,4,5,6,7,8}
b)AUC ={0,1,2,3,4,5,6,9}
c) AUintors B={4}
d) AUintors C= {0,1,2,4}

Answer 2

A={0,1,2,3,4}
B={4,5,6,7,8}
C={0,1,2,4,5,6,9}

a) AUB={0,1,2,3,4,5,6,7,8}
b) AUC={0,1,2,3,4,5,6,9}
c) A intersectat cu B = {4}
d) A intersectat cu C = {0,1,2,4}
e) A\B={0,1,2,3}
f) B\C={7,8}
g) C\A={5,6,9}
h) C\B={0,1,2,9}
i) (A\B) U (B\A)={0,1,2,3} U {5,6,7,8}={0,1,2,3,5,6,7,8}
j) (A\C) U (C\A)={3} U {5,6,9}={3,5,6,9}
k) (B\C) U (C\B) = {7,8} U {0,1,2,9} ={0,1,2,7,8,9}
l) A intersectat cu B intersecta cu C={ 4 }