Daca x apartine Z si 6/2x-1 apartine Z inseamna ca 2x-1 apartine divizorilor lui 6 D6={-6, -3, -2, -1, 1, 2, 3, 6}.
I) 2x-1=(-6)
2x= 5
x= -5/2 Fals
II) 2x-1= (-3)
2x= -2
x= -1 Adevarat
III) 2x-1= (-2)
2x= -1
x= -1/2 Fals
IV) 2x-1= (-1)
2x=0
x=0 Adevarat
V) 2x-1= (1)
2x= 2
x=1 Adevarat
VI) 2x-1= (2)
2x= 3
x=3/2 Fals
VII) 2x-1= (3)
2x=4
x=2 Adevarat
VIII) 2x-1= (6)
2x=7
x=7/2 Fals
Din toata chestia aia reiese ca x apartine {-1, 0, 1, 2}