1) ![(3x-1)^{2} -7<(9x+2)x+2\\9x^2-6x+1-7<9x^2+2x+2\\ 9x^2-6x-9x^2-2x<2-1+7\\ -8x<8\\x<-1 (3x-1)^{2} -7<(9x+2)x+2\\9x^2-6x+1-7<9x^2+2x+2\\ 9x^2-6x-9x^2-2x<2-1+7\\ -8x<8\\x<-1](https://tex.z-dn.net/?f=%283x-1%29%5E%7B2%7D%20-7%3C%289x%2B2%29x%2B2%5C%5C9x%5E2-6x%2B1-7%3C9x%5E2%2B2x%2B2%5C%5C%20%209x%5E2-6x-9x%5E2-2x%3C2-1%2B7%5C%5C%20-8x%3C8%5C%5Cx%3C-1)
2)
(5-4x)^2-1\\ 16x^2+6x+1>25-40x+16x^2-1\\ 16x^2+6x+40x-16x^2>25-1-1\\ 46x>23\\ x>\frac{23}{46}" alt="2x(8x+3)+1>(5-4x)^2-1\\ 16x^2+6x+1>25-40x+16x^2-1\\ 16x^2+6x+40x-16x^2>25-1-1\\ 46x>23\\ x>\frac{23}{46}" align="absmiddle" class="latex-formula">
3)
3.9-(2-0.3x)(2+0.3x)\\ 0.09x^2+0.12x+0.04+0.58x>3.9-(4-0.09x^2)\\ 0.09x^2+0.7x+0.04-3.9+4-0.09x^2>0\\ 0.7x+0.14>0\\ 0.7x>-0.14\\ x>-0.2" alt="(0.3x+0.2)^2+0.58x>3.9-(2-0.3x)(2+0.3x)\\ 0.09x^2+0.12x+0.04+0.58x>3.9-(4-0.09x^2)\\ 0.09x^2+0.7x+0.04-3.9+4-0.09x^2>0\\ 0.7x+0.14>0\\ 0.7x>-0.14\\ x>-0.2" align="absmiddle" class="latex-formula">
4) ![(0.2-0.8x)^2+11.16<(0.5+0.8x)^2-0.25\\ 0.04-0.32x+0.64x^2+11.16<0.25+0.8x+0.64x^2-0.25\\ 0.64x^2-0.32x-0.64x^2-0.8x<-11.2\\-1.12x<-11.2\\x<10 (0.2-0.8x)^2+11.16<(0.5+0.8x)^2-0.25\\ 0.04-0.32x+0.64x^2+11.16<0.25+0.8x+0.64x^2-0.25\\ 0.64x^2-0.32x-0.64x^2-0.8x<-11.2\\-1.12x<-11.2\\x<10](https://tex.z-dn.net/?f=%280.2-0.8x%29%5E2%2B11.16%3C%280.5%2B0.8x%29%5E2-0.25%5C%5C%200.04-0.32x%2B0.64x%5E2%2B11.16%3C0.25%2B0.8x%2B0.64x%5E2-0.25%5C%5C%200.64x%5E2-0.32x-0.64x%5E2-0.8x%3C-11.2%5C%5C-1.12x%3C-11.2%5C%5Cx%3C10)