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x3 +x -10<0

 Dec 20, 2016
 #1
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x3 + x -10 < 0  ........  this is probably best done graphically

 

https://www.desmos.com/calculator/kcwl3qnk6g

 

It appears that the solution  is  ( -inf, 2)

 

 

 

cool cool cool

 Dec 20, 2016
 #2
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\(\displaystyle x^3 + x - 10 = (x-2)(x^{2}+2x+5)=(x-2)\{(x+1)^{2}+4\}\),

curly bracket is always positive, so whole expression is negative if x less than 2.

 Dec 21, 2016

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