Question

Помогите решить систему неравенств

Answer 1

$left { {{x^2 - 8x - 12 leq -5x - 8} atop {-x^2+14x-18 leq 4x+6}} right. x^2 - 8x - 12 leq -5x - 8 x^2 - 8x -12 + 5x + 8 leq 0 x^2 - 3x - 4 = 0 D = 25 left { {{x1 = 4} atop {x2=-1}} right.$

x ∈ [ - 1 ; 4 ]

$-x^2 + 14x - 18 leq 4x+6 -x^2 + 14x - 18 - 4x - 6 leq 0 -x^2 + 10x - 24 = 0 D = 4 left { {{x1 = 4} atop {x2=6}} right.$

x ∈ ( - ∞ ; 4 ] U [ 6 ; + ∞ )

Итог:
$-1 leq x leq 4$