Mister Exam
35*2^|x|/(4+10*2^|x|-6*4^|x|)>=(2^|x|+2)/(3*2^|x|+1)+(3*2^|x|-1)/(2-2^|x|) inequation
The solution
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|x| |x| |x|
35*2 2 + 2 3*2 - 1
-------------------- >= ---------- + ----------
|x| |x| |x| |x|
4 + 10*2 - 6*4 3*2 + 1 2 - 2
$$\frac{35 \cdot 2^{\left|{x}\right|}}{- 6 \cdot 4^{\left|{x}\right|} + \left(10 \cdot 2^{\left|{x}\right|} + 4\right)} \geq \frac{2^{\left|{x}\right|} + 2}{3 \cdot 2^{\left|{x}\right|} + 1} + \frac{3 \cdot 2^{\left|{x}\right|} - 1}{2 - 2^{\left|{x}\right|}}$$
(35*2^|x|)/(-6*4^|x| + 10*2^|x| + 4) >= (2^|x| + 2)/(3*2^|x| + 1) + (3*2^|x| - 1)/(2 - 2^|x|)
Solving inequality on a graph