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

Răspuns :

1) A āˆŖ B= Z  

Aāˆ©B=āˆ…  

C āˆŖ D āˆŖ E=Z

C āˆ© D āˆ© E=āˆ…

2) 0 āˆˆ A ; adevarat

5 āˆˆ B adevarat

-8 āˆˆ C fals

-4 āˆˆ D  adevarat

-10 āˆ‰ E adevarat

15 āˆˆ C adevarat

2 āˆ‰ D fals