Question

Determinati multimea A={x €N|2x+3supra3 mai mic sau egal cu x+6supra2}

Answer 1

A = { x ∈ N | $\frac{2x+3}{3} \leq \frac{x+6}{2}$ }

Luam separat inegalitatea:

[tex] \frac{2x+3}{3} \leq \frac{x+6}{2}\\\\ \frac{4x+6}{6} \leq \frac{3x+18}{6}\\\\ 4x+6 \leq 3x+18\\ x \leq 12[/tex]

=> A = {1, 2, 3,...,12}