Question

Determinati multimea A intersectat cu B unde :
 
A={x∈N/$\frac{x+2}{x-2}$ ∈N}
B={x∈R/-1≤$\frac{4x-6}{2} \leq 5$}

Va rog 

Answer 1

X-2/x+2 X-2/x-2....rezulta din cele doua ca x-2/4 X-2=1. X-2=2. X-2=4 X=3 (A) x=4 (A) x=6(A) rezulta ca A={3,4,6} B=-2<4x-6<10 => 4<4x<16=> 1x=[1,4] A intersectat cu B={3,4}