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Se dau multimile :
A= {x∈Ν/[tex] x^{3} [/tex]<100}
B= {y∈N*/5y[tex] \leq [/tex] 34 }
C= {z∈N/[tex] z^{2} [/tex] - 3 [tex] \leq [/tex] 30 }
Calculati :
a) A U B U C
b) A ∧ C (adica U intors)
c) A \ B
d) B \ C


Răspuns :

A = {0,1,2,3,4}
5y 
34 

=> y
{1,2,3,4,5,6}
=> B={1,2,3,4,5,6}
z
²-330 => z²≤33 => z  {0,1,2,3,4,5} => C = {0,1,2,3,4,5}
Atunci:
a) A U B U C = {0,1,2,3,4,5,6}
b) A 
C = {0,1,2,3,4,5}
c) A \ B = {0}
d) B \ C = {6}