Question

Determinati elementele multimii A={x €Z|17/x-2€Z}

  

Answer 1

17/ (x-2 ) ∈Z
x∈ Z    ⇒(x-2)|17   ⇒x-2∈{-1;1;-17;17}

1)x-2= -1  <=> x= 1

2)x-2=1   <=> x=3

3)x-2=-17  <=> x= -15

4)x-2= 17 <=> x=19

x={ -15;1;3;19}