4*(х-3)-(0.5х+1)*(2х+6) меньше 6

[latex]4*(x-3)-(0.5x+1)*(2x+6) \ \textless \ 6[/latex] [latex]4x-12-( x^{2} +3x+2x+6) - 6\ \textless \ 0[/latex] [latex]4x-12-( x^{2} +5x+6) - 6\ \textless \ 0[/latex] [latex]4x-12-x^{2} -5x-6 - 6\ \textless \ 0[/latex] [latex]-x^{2} -x-24\ \textless \ 0[/latex] [latex]x^{2} +x+24\ \textless \ 0[/latex][latex]D=1^2-4*1*24\ \textless \ 0[/latex] [latex]x[/latex] ∈ [latex]R[/latex] Ответ: (- ∞ ; + ∞)