X²+6x-7≥0
x²+6x-7=0
D=36+28=64
x₁ = -6 -8 = -7
2
x₂ = -6+8 = 1
2
+ - +
----- -7 ----------- 1 ---------
\\\\\\\ \\\\\\\\\\\\
x∈(-∞; -7]U[1; +∞)
(x+9)(3-x)>0
-(x+9)(x-3)>0
(x+9)(x-3)<0<br>x= -9 x=3
+ - +
-------- -9 --------------- 3 ------------
\\\\\\\\\\\\\\\\\\
x∈(-9; 3)
{ x∈(-∞; -7]U[1; +∞)
{ x∈(-9; 3)
х∈(-9; -7]U[1; 3)
х={ -8; -7; 1; 2} - целые решения системы
-8-7+1+2= -12
Ответ: -12