Question

Impartind nr. nat. X la nr. nat. Y obtinem catul 3 si restul  19.
a) Calculati 2X-6Y+3
b) Aratati ca X+Y mai mare ca 95
c) Aflati X si Y , daca X-Y mai mic ca 61

Answer 1

X:y=3rest19
X=3y+19
2(3y+19)-6y+3=6y+38-6y+3=41
b)X+y>95
3y+19+y>95
4y>76
y>19
y=20,21....sau:
y∈(19,+∞)    paranteza rotunda-fara acel numar
c)X-y<61
3y+19-y<61
2y<42
y<21
y=0,1,...20 sau:
y∈(-∞,21)