Question

Determinati multimea A={x€ Z\ x-4 supra 2 <x<=5-x}

Answer 1

pai,poti lua pe rand fiecare inecuatie: prima-$x-4 supra 2 \ \textless \ x$ si o rezolvi iar a doua $x \leq 5-x$ si o rezolvi
vei obtine x<-4 si $x \leq 5 supra 2$ ,deci x va fi cuprins intre aceste numere;deoarece x apartine multimii numerelor intregi,atunci x va fi cuprins intre -4 si 2
  sper ca ai inteles

Answer 2

$\frac{x-4}{2} \ \textless \ x\ \textless \ 5-x|\cdot 2 \ \textless \ =\ \textgreater \ x-4\ \textless \ 2x\ \textless \ 10-2x \\ \left \{{{2x\ \textgreater \ x-4} \atop {2x\ \textless \ 10-2x}} \right. \\ \left \{ {{x\ \textgreater \ -4} \atop {4x\ \textless \ 10}} \right. \\ \left \{ {{x\ \textgreater \ -4} \atop {x\ \textless \ 2,5}} \right. \\ x\in\{-3,-2,-1,0,1,2\}$