[tex]\displaystyle\bf\\(x-4)(x+4)-5x < (x-2)^{2} -7\\\\x^{2} -16-5x < x^{2} -4x+4-7\\\\x^{2} -16-5x < x^{2} -4x-3\\\\x^{2} -5x-x^{2} +4x < -3+16\\\\-x < 13\\\\x > -13\\\\x\in\Big(-13 \ ; \ +\infty\Big)[/tex]
Наименьшее целое решение неравенства : - 12
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[tex]\displaystyle\bf\\(x-4)(x+4)-5x < (x-2)^{2} -7\\\\x^{2} -16-5x < x^{2} -4x+4-7\\\\x^{2} -16-5x < x^{2} -4x-3\\\\x^{2} -5x-x^{2} +4x < -3+16\\\\-x < 13\\\\x > -13\\\\x\in\Big(-13 \ ; \ +\infty\Big)[/tex]
Наименьшее целое решение неравенства : - 12