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Solve the inequality x(x+6)>165x+33. Write your answer in interval notation.

 May 22, 2024
 #1
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First, we have to write this in standard form by combining all like terms and moving all terms to one side. We get x2+11x49>0

 

Using the quadratic equation, we get x<317112orx>317112

 

Putting this into interval notation, we have (317112,317112)

 

This isn't a hard problem to do. It is annoying we have square roots and an unfactorable polynomial, but not too bad in general!

 

Thanks! :)

 May 23, 2024

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