Question

Решите систему неравенств
Срочно! Очень нужно

Answer 1

$\displaystyle \left \{ {{x^2+4x-12\leq 0} \atop {7+3(x+1) > x}} \right. \\\\\left \{ {{x \in [-6,2]} \atop {x > -5}} \right. \\\\x \in (-5,2]$

Answer 2

$\displaystyle\bf\\\left \{ {{x^{2} +4x-12\leq 0} \atop {7+3(x+1) > x}} \right. \\\\\\\left \{ {{(x+6)(x-2)\leq 0} \atop {7+3x+3-x > 0}} \right. \\\\\\\left \{ {{(x+6)(x-2)\leq 0} \atop {2x > -10}} \right. \\\\\\\left \{ {{(x+6)(x-2)\leq 0} \atop {x > -5}} \right.$

_________[- 6]__________[2]___________

                   ////////////////////////////

_______________(- 5)_________________

                                      //////////////////////////////

Ответ : x ∈ (- 5 ; 2]