Question

Найдите целые решения системы неравенств

Answer 1

$\left \{ {{2(3x-4) \geq 4(x+1)-3} \atop {x(x-4)-(x+3)(x-5)\ \textgreater \ -5}} \right. \; \left \{ {{6x-8 \geq 4x+1} \atop {x^2-4x-(x^2-2x-15)\ \textgreater \ -5}} \right. \; \left \{ {{2x \geq 9} \atop {-2x\ \textgreater \ -20}} \right. \\\\ \left \{ {{x \geq 4,5} \atop {x\ \textless \ 10}} \right. \; \; \to \; \; x\in [4,5\; ;\; 10)\\\\celue:\; \; 5,\; 6,\; 7,\; 8,\; 9\; .$

Answer 2

$\left \{ {{2(3x -4) \geq 4(x+1)-3} \atop {x(x-4)-(x+3)(x-5)\ \textgreater \ -5}} \right.\\\\ \left \{ {{6x-8 \geq 4x+4-3} \atop { x^{2} -4x- x^{2} +2x+15\ \textgreater \ -5}} \right.\\\\ \left \{ {{2x \geq 9} \atop {-2x\ \textgreater \ -20}} \right.\\\\ \left \{ {{x \geq 4,5} \atop {x\ \textless \ 10}} \right.$
x ∈ [4,5 ; 10)
Целые решения : 5 , 6 , 7 , 8 , 9 .