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5^((x+1)/(1-2x)) < 0.2^-3

 Jun 7, 2016
 #1
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5^((x+1)/(1-2x)) < 0.2^-3

 

5^((x+1)/(1-2x))<125. Cannot be reduced further, I think.

 Jun 7, 2016
 #2
avatar+23251 
+5

5(x + 1) / (1 - 2x)  <  0.3-3

5(x + 1) / (1 - 2x)  <  125

5(x + 1) / (1 - 2x)  <  53

(x + 1) / (1 - 2x)  < 3

(x + 1)   <   3(1 - 2x)

x + 1   <   3 - 6x

7x   <   2

x   <   2/7

 Jun 7, 2016
 #3
avatar+16 
0

forgot to say i need to get xE(-infinity,2/7)U(1/2,+infinity)

 Jun 7, 2016

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