![image](https://tex.z-dn.net/?f=%282x%2B2%29%5E2%3E%28x-5%29%5E2%5C%5C%5C%5C%282x%2B2%29%5E2-%28x-5%29%5E2%3E0%5C%5C%5C%5C%282x%2B2-%28x-5%29%29%282x%2B2%2B%28x-5%29%29%3E0%5C%5C%5C%5C%28x%2B7%29%283x-3%29%3E0%5C%5C%5C%5C%2B%2B%2B%28-7%29---%281%29%2B%2B%2B%5C%5C%5C%5Cx%5Cin+%28-%5Cinfty%2C-7%29U%281%2C%2B%5Cinfty%29)
(x-5)^2\\\\(2x+2)^2-(x-5)^2>0\\\\(2x+2-(x-5))(2x+2+(x-5))>0\\\\(x+7)(3x-3)>0\\\\+++(-7)---(1)+++\\\\x\in (-\infty,-7)U(1,+\infty)" alt="(2x+2)^2>(x-5)^2\\\\(2x+2)^2-(x-5)^2>0\\\\(2x+2-(x-5))(2x+2+(x-5))>0\\\\(x+7)(3x-3)>0\\\\+++(-7)---(1)+++\\\\x\in (-\infty,-7)U(1,+\infty)" align="absmiddle" class="latex-formula">