Question

X(x+3)-6<3(x+1) решите пожалуйста

Answer 1

$x(x+3)-6 textless 3(x+1)\\ x^2+3x-6 textless 3x+3\\ x^2-9 textless 0\\ x^2-3^2 textless 0\\ (x-3)*(x+3) textless 0\\ left { {{x-3 textgreater 0} atop {x+3 textless 0}} right. or left { {{x-3 textless 0} atop {x+3 textgreater 0}} right.\\ left { {{x textgreater 3} atop {x textless -3}} right. or left { {{x textless 3} atop {x textgreater -3}} right.\\ left { {{x textless 3} atop {x textgreater -3}} right.\\ -3 textless x textless 3\\ xin(-3; 3)$

Ответ: $(-3; 3)$