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2014-08-20T12:58:10+03:00
7/(x-1) ∈ Z   
x ∈ Z               =>(x-1)|7        <=> x-1={-1;1;-7;7}

1) x-1= -1 <=> x=0

2)x-1= 1  <=> x= 2

3)x-1=-7 <=> x= -6

4)x-1= 7 <=> x= 8

x={ -6; 0,2,8}