Question

4. Решите систему неравенств:

Answer 1

Ответ:

$\left \{ {{7x-12<5(x+2)} \atop {2(x+6)>4x+18}} \right. \\\\\left \{ {{7x-12<5x+10} \atop {2x+12>4x+18}} \right. \\\\\left \{ {{7x-5x<10+12} \atop {2x-4x>18-12}} \right. \\\\\left \{ {{2x<22} \atop {-2x>6}} \right. \\\\\left \{ {{x<22:2} \atop {x>6:(-2)}} \right. \\\\\left \{ {{x<11} \atop {x<-3}} \right.$

Таким образом:

х ∈ (-∞ ; -3)

Пошаговое объяснение: