Question

Fie A={x€Z/6supra 2x-1 €Z}.Calculati A intersectat [-1;0]

Answer 1

6/(2x-1)
trebuie ca 2x-1 sa fie divizorii lui 6
D6={-6,-3,-2,-1,1,2,3,6}
2x-1=-6 ∉Z
2x-1=-3,x=-1
2x-1=-2,x∉Z
2x-1=-1 ,x=0
2x-1=1,x=1
2x-1=2,x∉Z
2x-1=3,x=2
A={-1,0,1,2}∩[-1,0]={-1,0}