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Solve the inequality x^3 + 4x > 5x^2 + 28x + x^3. Write your answer in interval notation.

 Dec 23, 2023
 #1
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x^3 + 4x > 5x^2 + 28x + x^3      simplify

 

5x^2 + 24x  <  0 

 

x ( 5x + 24)  <  0

 

Setting the equation equal to 0  and  solving for  x produces   x =  -24/5  and x =  0

 

The solution comes from either (-inf, -24.5)  or (-24.5, 0) or ( 0 ,inf)

 

Testing a point in each interval :

 

The solution comes from      ( -24.5 , 0)

 

 

cool cool cool

 Dec 24, 2023

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