![image](https://tex.z-dn.net/?f=1%29%5C%3B+12%28-4%2B7x%29+%5Cgeq+-3x%2B9%5C%5C%5C%5C-48%2B84x%2B3x-9+%5Cgeq+0%5C%5C%5C%5C87x+%5Cgeq+57%5C%5C%5C%5Cx+%5Cgeq+%5Cfrac%7B57%7D%7B87%7D%5C%5C%5C%5C2%29%5C%3B+-2x%5E2%2B10x-12%3C0%5C%5C%5C%5Cx%5E2-10x%2B6%3E0%5C%5C%5C%5CD%3D100-24%3D76%3D4%2A19%5C%5C%5C%5Cx_1%3D%5Cfrac%7B10-2%5Csqrt%7B19%7D%7D%7B2%7D%3D5-%5Csqrt%7B19%7D%5C%5C%5C%5Cx_2%3D5%2B%5Csqrt%7B19%7D)
0\\\\D=100-24=76=4*19\\\\x_1=\frac{10-2\sqrt{19}}{2}=5-\sqrt{19}\\\\x_2=5+\sqrt{19}" alt="1)\; 12(-4+7x) \geq -3x+9\\\\-48+84x+3x-9 \geq 0\\\\87x \geq 57\\\\x \geq \frac{57}{87}\\\\2)\; -2x^2+10x-12<0\\\\x^2-10x+6>0\\\\D=100-24=76=4*19\\\\x_1=\frac{10-2\sqrt{19}}{2}=5-\sqrt{19}\\\\x_2=5+\sqrt{19}" align="absmiddle" class="latex-formula">