Ответ:
{3; 4; 5; 6; 7}
Объяснение:
[tex]\left \{ {{10-4x\geq 3(1-x)} \atop {3,5+\frac{x}{4}} < 2x} \right.= > \left \{ {{10-4x\geq 3-3x} \atop {3,5+0,25x < 2x}} \right.= > \left \{ {{3x-4x\geq 3-10} \atop {0,25x-2x < -3,5}} \right.= > \\\\= > \left \{ {{-x\geq -7} \atop {-1,75x < -3,5}} \right.= > \left \{ {{x\leq 7} \atop {x > 2}} \right.[/tex]
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\[7]_____
_______(2)/////////////////////////////////////
x∈(2;7]
x∈Z
x={3; 4; 5; 6; 7} - все целые решения системы неравенств
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Answers & Comments
Ответ:
{3; 4; 5; 6; 7}
Объяснение:
[tex]\left \{ {{10-4x\geq 3(1-x)} \atop {3,5+\frac{x}{4}} < 2x} \right.= > \left \{ {{10-4x\geq 3-3x} \atop {3,5+0,25x < 2x}} \right.= > \left \{ {{3x-4x\geq 3-10} \atop {0,25x-2x < -3,5}} \right.= > \\\\= > \left \{ {{-x\geq -7} \atop {-1,75x < -3,5}} \right.= > \left \{ {{x\leq 7} \atop {x > 2}} \right.[/tex]
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\[7]_____
_______(2)/////////////////////////////////////
x∈(2;7]
x∈Z
x={3; 4; 5; 6; 7} - все целые решения системы неравенств