Question

решить систему неравенств
1) 6x>30,
-5x-4≥26;


2)4x+2≤5x+3,
2-3x>7-2x;

Answer 1

1) $left { {{6x textgreater 30} atop {-5x-4 geq 26}} right. left { {{x textgreater 5} atop {-5x geq 30}} right. left { {{x textgreater 5} atop {5x leq 30}} right. left { {{x textgreater 5} atop {x leq 6}} right.$
Ответ: (5; 6]

2) $left { {{4x+2 leq 5x+3} atop {2-3x textgreater 7-2x}} right. left { {{2-3 leq 5x-4x} atop {2-7 textgreater 3x-2x}} right. left { {{-1 leq x} atop {-5 textgreater x}} right. left { {{x geq -1} atop {x textless -5}} right.$
Ответ: ∅ (пустое множество).