Question

Determinati elementele multimilor A={xϵN I 4*10n+1+10n+28≤25653} si B={xϵN* I 9n+1≤315-2*97-2*313-2*96}. Calculati AꓵB

Answer 1

40n + 10n +29 </ 25653

50n +29 </ 25653

50n</ 25653 - 29

50n </ 25624

n </ 512,48

A ={ 0,1,2,3,.....512}

9n+1 </ 315 - 194-626 -192

9n + 1 </ -697

9n </ -697 -1

9n </ -698

n </ -77,(5)

n nu apartine N, asta daca ai scris corect multimea B

Deci B ={Q} multimea vida

A ∩ B = Q