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Resolver desigualdades/ ((2x+1)^10-(5x+4)^5)/((4x+1)^4-(3x+4)^4)>0

((2x+1)^10-(5x+4)^5)/((4x+1)^4-(3x+4)^4)>0 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src] 
         10            5    
(2*x + 1)   - (5*x + 4)     
------------------------ > 0
         4            4     
(4*x + 1)  - (3*x + 4)
$$\frac{\left(2 x + 1\right)^{10} - \left(5 x + 4\right)^{5}}{- \left(3 x + 4\right)^{4} + \left(4 x + 1\right)^{4}} > 0$$ 
((2*x + 1)^10 - (5*x + 4)^5)/(-(3*x + 4)^4 + (4*x + 1)^4) > 0
Respuesta rápida 2 [src] 
(-oo, -3/4) U (-5/7, 1) U (3, oo)
$$x\ in\ \left(-\infty, - \frac{3}{4}\right) \cup \left(- \frac{5}{7}, 1\right) \cup \left(3, \infty\right)$$ 
x in Union(Interval.open(-oo, -3/4), Interval.open(-5/7, 1), Interval.open(3, oo))
Respuesta rápida [src] 
Or(And(-oo < x, x < -3/4), And(-5/7 < x, x < 1), And(3 < x, x < oo))
$$\left(-\infty < x \wedge x < - \frac{3}{4}\right) \vee \left(- \frac{5}{7} < x \wedge x < 1\right) \vee \left(3 < x \wedge x < \infty\right)$$ 
((-oo < x)∧(x < -3/4))∨((-5/7 < x)∧(x < 1))∨((3 < x)∧(x < oo))
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