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============ 9 ============
![log_{0.5}(x-2) \geq -2\\ ============\\ x-2\ \textgreater \ 0\\ x\ \textgreater \ 2\\ ============\\ log_{0.5}(x-2) \geq -2\cdot log_{0.5}0.5\\ log_{0.5}(x-2) \geq log_{0.5}( \frac{1}{2} )^{-2}\\ x-2 \leq 4\\ x \leq 6\\\\
\left \{ {{x\ \textgreater \ 2} \atop {x \leq 6}} \right. \\\\
x\in(2;6] log_{0.5}(x-2) \geq -2\\ ============\\ x-2\ \textgreater \ 0\\ x\ \textgreater \ 2\\ ============\\ log_{0.5}(x-2) \geq -2\cdot log_{0.5}0.5\\ log_{0.5}(x-2) \geq log_{0.5}( \frac{1}{2} )^{-2}\\ x-2 \leq 4\\ x \leq 6\\\\
\left \{ {{x\ \textgreater \ 2} \atop {x \leq 6}} \right. \\\\
x\in(2;6]](https://tex.z-dn.net/?f=log_%7B0.5%7D%28x-2%29+%5Cgeq+-2%5C%5C+%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%5C%5C+x-2%5C+%5Ctextgreater+%5C+0%5C%5C+x%5C+%5Ctextgreater+%5C+2%5C%5C+%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%5C%5C+log_%7B0.5%7D%28x-2%29+%5Cgeq+-2%5Ccdot+log_%7B0.5%7D0.5%5C%5C+log_%7B0.5%7D%28x-2%29+%5Cgeq+log_%7B0.5%7D%28+%5Cfrac%7B1%7D%7B2%7D+%29%5E%7B-2%7D%5C%5C+x-2++%5Cleq++4%5C%5C+x++%5Cleq++6%5C%5C%5C%5C%0A+%5Cleft+%5C%7B+%7B%7Bx%5C+%5Ctextgreater+%5C+2%7D+%5Catop+%7Bx+%5Cleq+6%7D%7D+%5Cright.+%5C%5C%5C%5C%0Ax%5Cin%282%3B6%5D)
Целые решения: 3, 4, 5, 6. - 4 целых решения
Ответ: 1)
============ 10 ============

Целые отрицательные: -4, -3, -2, -1
Ответ: 4)
============ 11 ============

Ответ: 4)
Целые решения: 3, 4, 5, 6. - 4 целых решения
Ответ: 1)
============ 10 ============
Целые отрицательные: -4, -3, -2, -1
Ответ: 4)
============ 11 ============
Ответ: 4)
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