Question

A= { x E N / x - cifra impara }
B = {y E N / y = 2x + 1 , x E A }
C = {z E N / z = y - 2 ; y E B }
Determinati multimile :
a) A , B ,C
b) A U B U C si A n B n C
c) A n B , A n C , B n C
d) (A\B) U (C\B)
e) (A U B) n C
f) A n ( C-B)
g) C \ ( A U B)
Dau 13 puncte!!

Answer 1

A={1,3,5,7,9}
B={3,7,11,15,19}
C={1,5,9,13,17}
A U B U C = {1,3,5,7,9,11,15,19, 13,17}
A n B n C ={0 elemente}
A n B={3,7}
A n C={1,5,9}
B n C={3,7}
(A/B)={1,5,9} U (C/B)={0 elemente}={1,5,9}
(A U B){1,3,5,7,9,11,15,19} n C={1,5,9}
A n (C-B)=A n {1,5,9,13,17}={1,5,9}
C/ (A U B) = C/ {1,3,5,7,9,11,15,19}={0elemente}