Question

Розвяжіть систему нерівностей $left { {{(x-1)(x+3)-(x+4)(x-4) textgreater 3} atop { frac{2x-5}{3} geq -3}} right.$

Answer 1

$left { {{(x-1)(x+3) - (x+4)(x-4) textgreater 3} atop { frac{2x - 5}{3} geq -3 }} right.$
$left { {{ x^{2} + 2x - 3 - x^{2} - 16 textgreater 3} atop { 2x - 5 geq -3 * 3 }} right.$
$left { {{2x - 19 textgreater 3} atop { 2x - 5 geq -9 }} right. \ left { {{2x textgreater 3 + 19} atop { 2x geq -9 + 5 }} right. \ left { {{2x textgreater 22} atop { 2x geq -4 }} right. \ left { {{x textgreater 11} atop { x geq -2 }} right.$