1.
[tex]x^2+2x+3>x^2-6x+9+2x\Rightarrow 6x>6\Rightarrow x>1\Rightarrow x\in(1;\infty)[/tex]
2.
[tex]x^2+4x+3\leq x^2+10x+27\Rightarrow 6x\geq-24\Rightarrow x\geq-4\Rightarrow x\in[-4;\infty)[/tex]
3
[tex]x^2-3x+2\geq x^2+6x+11\Rightarrow 9x\leq-9\Rightarrow x\leq-1\Rightarrow x\i(-\infty;-1][/tex]
4.
[tex]x^2+2x+1-4\Rightarrow x\in(-4;\infty)[/tex]^2+3x+5\rightarrow>