Question

4*(х-3)-(0.5х+1)*(2х+6) меньше 6

Answer 1

$4*(x-3)-(0.5x+1)*(2x+6) textless 6$
$4x-12-( x^{2} +3x+2x+6) - 6 textless 0$
$4x-12-( x^{2} +5x+6) - 6 textless 0$
$4x-12-x^{2} -5x-6 - 6 textless 0$
$-x^{2} -x-24 textless 0$
$x^{2} +x+24 textless 0$

$D=1^2-4*1*24 textless 0$

$x$ ∈ $R$

Ответ: (- ∞ ; + ∞)