Question

Calculati card A u B daca
a) card A= 12 , card B =17 card A n B =4
b) card A = 44 , card B = 28 , card A n B = 0
c) card A =9 card B = 19 , card A n B = 9

Answer 1

 

Calculati card A U B daca

a) card A = 12 , card B = 17 card (A ∩ B) = 4

b) card A = 44 , card B = 28 , card (A ∩ B) = 0

c) card A = 9 card B = 19 , card (A ∩ B) = 9

.

$\displaystyle\bf\\Rezolvare:\\\\a)~~card\Big(A\bigcup B\Big)=cardA+cardB-card\Big(A\bigcap B\Big)=12+17-4=25\\\\\\b)~~card\Big(A\bigcup B\Big)=cardA+cardB-card\Big(A\bigcap B\Big)=44+28-0=72\\\\\\c)~~card\Big(A\bigcup B\Big)=cardA+cardB-card\Big(A\bigcap B\Big)=9+19-9=19$