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Fie A = { x ∈ Z( numere intregi) | x=2n si n ∈ Z } B = { x ∈ Z | x=2p + 1 si p ∈ Z} C = { x ∈ Z | x=3k si k ∈ Z} D = { x ∈ Z | x=3k+2 si k ∈ Z} E = { x ∈ Z | x=3k+1 si k ∈ Z } . a) Determinati: A ∪ B, A ∩ B, C ∪ D ∪ E, C ∩ D ∩ E. B)Precizati valoarea de adevar a propozitiilor: 0 ∈ A ; 5 ∈ B ; -8 ∈ C; -4 ∈ D ; -10 ∉ E; 15 ∈ C ; 2 ∉ D . Eu cred ca e bine premiu Funda+ 90 puncte. Daca e rezolvata pana maine. Deci e Urgent. Mersi

Răspuns :

1) A ∪ B= Z  

A∩B=∅  

C ∪ D ∪ E=Z

C ∩ D ∩ E=∅

2) 0 ∈ A ; adevarat

5 ∈ B adevarat

-8 ∈ C fals

-4 ∈ D  adevarat

-10 ∉ E adevarat

15 ∈ C adevarat

2 ∉ D fals