Question

Добрый вечер решите не равенство

Answer 1

$x-7+ frac{(x-6)^2}{3} geq frac{(x+4)^2}{2} - frac{(x+2)(x+6)}{4}$
$frac{3(x-7)+(x-6)^2}{3} geq frac{2(x+4)^2}{4} - frac{(x+2)(x+6)}{4}$
$frac{3x-21+x^2-12x+36}{3} geq frac{2(x^2+8x+16)}{4} - frac{ x^{2} +2x+6x+12}{4}$
$frac{x^2-9x+15}{3} geq frac{2x^2+16x+32-x^2-8x-12}{4}$
$frac{x^2-9x+15}{3} geq frac{x^2+8x+20}{4}$
$4(x^2-9x+15) geq {3(x^2+8x+20)$
$4x^2-36x+60 geq {3x^2+24x+60$
$4x^2-36x+60 -{3x^2-24x-60 geq 0$
$x^2-60x geq 0$
$x(x-60) geq 0$
$x=0$    $x=60$

-----+------[0]---------_--------[60]------+-------
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Ответ: $(-$ ∞ $;0]$ ∪ $[60;+$ ∞ $)$