Question

determinati numarul natural x pentru care fiecare dintre urmatoarele fractii sa fie supraunitare
a) 4 supra x
b)6 supra x+2
c)4 supra x-1
d)2x supra x+5

Answer 1

a) 4>x => x apartine={0,1,2,3}
b) 6>x+2 => 4>x => x apartine={0,1,2,3}
c)4>x-1 => 5>x=> x apartine={0,1,2,3,4}
d) 2x>x+5 => x>5 => x apartine={6,7,8,9......}

Answer 2

4/x supraunitara       x=3,2,1

6/x+2           x+2=5 x=3.   x+2=4   x=2   ,         x+2=3  x=1  ,x+2=2 x=0
4/x-1             x-1=3 x=4,    x-1=2  x=3             x-1=1 x=2   
2x/x+5         2x>x+5     2x-x>5  x>5    x=6,7,8,9......