Question

помогите пожалуйста!

Answer 1

$\displaystyle\bf\\(x-3)(x+3) < (x-2)(x+2)+2\\\\x^{2} -3^{2} < x^{2} -2^{2} +2\\\\x^{2} -9 < x^{2} -4+2\\\\x^{2} -9 < x^{2} -2\\\\x^{2} -x^{2} < 9-2\\\\0\cdot x^{2} < 7\\\\\boxed{x\in\Big(-\infty \ ; \ +\infty\Big)}$