Question

Решите систему неравенств
4х-10>10
3х-5>1

Answer 1

$\displaystyle \left \{ {{4x-10>10} \atop {3x-5>1}} \right.~~~\Leftrightarrow~~ \left \{ {{4x>10+10} \atop {3x>5+1}} \right.~~~\Leftrightarrow~~\left \{ {{4x>20} \atop {3x>6}} \right.~~~\Leftrightarrow~~\\\\\displaystyle \left \{ {{x>20:4} \atop {x>6:3}} \right.~~~\Leftrightarrow~~\left \{ {{x>5} \atop {x>2}} \right.$

Ответ : x > 5;  x∈(5; +∞)