Question

Se considera multimi
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
a) multimile A , B , C
b) A u B u C ; (A \ B) u (C \ B) ; (A u B) n C

Answer 1

A={1,3,5,7,9}
B={3,7,11,15,19}
C={1,5,9,13,17}

b) A u B u C= mulțimea vida
(A\B) u (C\B)={1,5,9} u {1,5,9,13,17}
={1,5,9,13,17}

(A u B) n C= {1,3,5,7,9,11,15,19} n C
={1,5,9}