Question

Valendo 99 pontos!!!

O conjunto solução em R da inequação 3-2x / 6 > 2x - 2/3 é:
( ) ]-∞, 1/2[ ( ) ]1/2, +∞ [ ( ) [ 1/2 , +∞ [

Answer 1

                 $\frac{3-2x}{6} \ \textgreater \ \frac{2x-2}{3} \\ \\ 9-6x\ \textgreater \ 12x-12 \\ \\ 9+12\ \textgreater \ 12x+6x \\ \\ 21\ \textgreater \ 18x \\ \\ 18x\ \textless \ 21 \\ \\ x\ \textless \ \frac{21}{18}$

                                 $]-oo, \frac{21}{18}]$

                                                                 NENHUMA ALTERNATIVA

Answer 2

Oi 

Segue: 

$\frac{3-2x}{6} \ \textgreater \ 2x-\frac{2}{3} \\ \\ \frac{1(3-2x)\ \textgreater \ 6.2x-2.2}{6} \\ \\ 3-2x\ \textgreater \ 12x-4 \\ \\ -2x-12x\ \textgreater \ -4-3 \\ \\ -14x\ \textgreater \ -7 \ \ \ *(-1) \\ \\ 14x\ \textless \ 7 \\ \\ x\ \textless \ \frac{7}{14} \\ \\ x\ \textless \ \frac{1}{2}$

$S= ( -\infty, \frac{1}{2} )$