Question

Rezolvati in Z inecuatia

$\frac{x-1}{2} + \frac{x}{3} \ \textless \ 2x+ \frac{1}{3}$

Answer 1

[tex]\frac{x-1}{2}+\frac{x}{3}\ \textless \ 2x+\frac{1}{3}|\cdot 6\\ 3x-3+2x\ \textless \ 12x+2\\ 5x-12x\ \textless \ 3+2\\ -7x\ \textless \ 5\\ 7x\ \textgreater \ -5\\ x\ \textgreater \ \frac{-5}{7}\\ x\in Z \Rightarrow S:x\in N[/tex]