Question

Решите неравенство
$(2x+2)^{2}\ \textgreater \ (x-5 )^{2}$

Answer 1

$(2x+2)^2>(x-5)^2\\\\(2x+2)^2-(x-5)^2>0\\\\(2x+2-(x-5))(2x+2+(x-5))>0\\\\(x+7)(3x-3)>0\\\\+++(-7)---(1)+++\\\\x\in (-\infty,-7)U(1,+\infty)$