2)
A={1,2,5,7}
B={2,4,6}
a)AUB={1,2,4,5,6,7}
b)BUA={1,2,4,5,6,7}
c)AnB={2}
d)BnA={2}
e)A-B={1,5,7}
f)B-A={4,6}
3)
A={a,b,c}
M=?
P=?
a)M U P=A
M n B={b}
Rezolvare:
M={a,b}
P={b,c}
sau
M={c,b}
P={a,b}
sau
M={a,b,c}
P={b}
b)C U D=A
C n D={b,c}
Rezolvare:
C={b,c,a}
D={b,c}
sau
C={c,b}
D={a,b,c}
4)
a)M U {10}={5,10,15}
M={5,15}
sau
M={5,10,15}
b)P este inclus în mulțimea {1,3,7,9}
P n {2,3,5,8,9}={3,9}
P€{(1,3,7,9),(1,3,9),(7,3,9),(3,9)}
5)
A={1,2}
B={1,3,5}
C={1,4,5,6}
_______________________
a)A U B={1,2,3,5}
B)B n C={1,5}
c)A-C={2}
D)A U (C-B)
A U {4,6} ={1,2,4,6}
e)(An B) U (B n C)
{1} U {1,5}={1,5}
f) (A n B) U (B n C)
{1} U {1,5}={1,5}
g) (A n B) U ( B n C)
{1} U {1,5}={1,5}
h)A n(B U C)
A n {1,3,4,5,6}={1,2,3,4,5,6}
i)A-A=○(mulțimea vidă)
j)(A-B) U ( B - A)
{2} U {3,5}={2,3,5}
k)(A U B) - (A n B)
{1,2,3,5} - {1}={2,3,5}
l)A n B n C={1} n C=○(mulțimea vidă)
Sper că te-am ajutat!!
