Question

Rezolvati in R inecuatia:
1)2x<3x+6
2)3-2x>7x-2

Answer 1

    
[tex]1) \\ 2x\ \textless \ 3x+6 \\ 2x-3x\ \textless \ 6 \\ -x\ \textless \ 6~~~~~|\times(-1) \\ x\ \textgreater \ 6 \\ x \in (6,~+\infty) \\ \\ \\ 2) \\ 3-2x\ \textgreater \ 7x-2 \\ -2x-7x\ \textgreater \ -2-3 \\ -9x\ \textgreater \ -5 ~~~~~~| \times (-1) \\ \displaystyle 9x \ \textless \ 5 ~~~~~\Longrightarrow x\ \textless \ \frac{5}{9}~~~~~\Longrightarrow x \in \left(-\infty,~\frac{5}{9}\right)[/tex]