(x+1)(x-10)+43\\\\4x^2+12x+9>x^2-9x-10+43\\\\3x^2+21x-24>0\; |:3\\\\x^2+7x-8>0\\\\x^2+7x-8=0,\; x_1=1,\; x_2=-8\\\\+ + + +(-8)- - - -(1)+ + + + \\\\x\in (-\infty,-8)U(1,+\infty)" alt="(2x+3)^2>(x+1)(x-10)+43\\\\4x^2+12x+9>x^2-9x-10+43\\\\3x^2+21x-24>0\; |:3\\\\x^2+7x-8>0\\\\x^2+7x-8=0,\; x_1=1,\; x_2=-8\\\\+ + + +(-8)- - - -(1)+ + + + \\\\x\in (-\infty,-8)U(1,+\infty)" align="absmiddle" class="latex-formula">