[tex]\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)}[/tex]
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[tex]\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)}[/tex]