(a) 1)6+1=7
2)7+8=15
3)15+9=24
4)24•27=648
(b) 1)
Система:
![3x^2+11x-4\ \textgreater \ 0 \\ x-17 \neq 0 \\ x+1 \neq 0](https://tex.z-dn.net/?f=3x%5E2%2B11x-4%5C%20%5Ctextgreater%20%5C%200%20%5C%5C%20x-17%20%5Cneq%200%20%5C%5C%20x%2B1%20%20%5Cneq%200%20)
Найдем корни неравенства:
![3x^2+11x-4=0 \\ D=121-4*3*(-4)=121+48=169 \\ x_1= \frac{-11+13}{6} = \frac{2}{6} = \frac{1}{3} \\ x_2= \frac{-11-13}{6} = \frac{-24}{6} =-4](https://tex.z-dn.net/?f=3x%5E2%2B11x-4%3D0%20%5C%5C%20D%3D121-4%2A3%2A%28-4%29%3D121%2B48%3D169%20%5C%5C%20x_1%3D%20%5Cfrac%7B-11%2B13%7D%7B6%7D%20%3D%20%5Cfrac%7B2%7D%7B6%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%20%5C%5C%20x_2%3D%20%5Cfrac%7B-11-13%7D%7B6%7D%20%3D%20%5Cfrac%7B-24%7D%7B6%7D%20%3D-4)
Нанесём их на числовую прямую, и сразу выколем точки
![17](https://tex.z-dn.net/?f=17)
и
![-1](https://tex.z-dn.net/?f=-1)
.
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![+](https://tex.z-dn.net/?f=%2B)
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![-4](https://tex.z-dn.net/?f=-4)
|____
![-](https://tex.z-dn.net/?f=-)
____|-1|_____
![-](https://tex.z-dn.net/?f=-)
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![\frac{1}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D)
|____
![+](https://tex.z-dn.net/?f=%2B)
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![17](https://tex.z-dn.net/?f=17)
|___
![+](https://tex.z-dn.net/?f=%2B)
____
Таким образом:
<em>
беск.
</em>U<em>
</em>U <em>
беск.
</em>