Question

Aflati elementele multimii A= { x ∈ Z | 8/2x-1 ∈ Z }

Answer 1

8/2x-1∈Z;
⇒2x-1∈D8=[-8,-4,-2,-1,1,2,4,8];
⇒2x-numar par ,pentru x∈Z;
⇒1-numar impar;
⇒numar par+numar impar=numar impar;
⇒2x-1=[-1,1]
⇒2x=-2⇒x=-1;
⇒2x=0⇒x=0;
⇒A=[-1,0];