Question

Determinati elementele multimii A={x∈N| |2x-1|≤1}.

Answer 1

Avem in cerinta modul de 2x-1. Dupa formula, putem scrie astfel
-1 ≤2x + 1≤ 1
Eliminam cifra 1, si obtinem:
0≤ 2x ≤ 2
=> 2x ∈ { 0,1,2}
=> x ∈ {0,1}