Question

Inequações de 1ºgrau
Qual é o menor número inteiro que satisfaz à inequação
4x-3/5 - 2x+7/3 < 2x+4

Answer 1

$\dfrac{4x-3}{5}-\dfrac{2x+7}{3}\ \textless \ 2x+4\ \to\ \dfrac{3(4x-3)}{15}-\dfrac{5(2x+7)}{15}\ \textless \ 2x+4\ \to\\\\ \to\ \dfrac{12x-9-10x-35}{15}\ \textless \ 2x+4\ \to\ \dfrac{2x-44}{15}\ \textless \ 2x+4\ \to\\\\ \to\ 2(x-22)\ \textless \ 15(2(x+2))\ \to\ x-22\ \textless \ 15x+30\ \to\\\\ \to\ -22-30\ \textless \ 15x-x\ \to\ -52\ \textless \ 14x\ \to\ x\ \textgreater \ -\dfrac{26}{7}\\\\\ \mathrm{O\ menor\ n\acute{u}mero\ inteiro\ que\ satisfaz\ a}\ \textrm{condi\c{c}\~ao}\ \mathrm{\acute{e}\ x=-3.}$