Resposta :
5 - (2x + 7) < - x + 3 . (-x + 4)
5 - 2x -7 < -x -3x + 12
-2x -2 < -4x + 12
-2x + 4x < 12 +2
2x < 14
x < 7
Olá, Danilo.
[tex] 5 - (2x + 7) < - x + 3 . (-x + 4) \Rightarrow\\\\ 5-2x-7 < -x-3x+12 \Rightarrow\\\\ -2x+x+3x<12-5+7 \Rightarrow\\\\ 2x<14\Rightarrow\\\\ x<7\\\\ \therefore \boxed{S=\{x\in\mathBB{R}|x<7\}}[/tex]