MHB Confused: Seeking Help on Problem Solution

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The discussion centers on a mathematical problem involving the inequality $x^2(x^2 - 2) \leq -x^2$. The participant expresses uncertainty about their solution and seeks validation of their reasoning. The consensus indicates that the initial bounding provided by the participant is incorrect, while the second part of their reasoning is confirmed as correct. This highlights the importance of precise mathematical reasoning in problem-solving.

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I am not entirely sure if I solved this problem correctly. Please let me know if my reasoning is flawed. Thank you and I appreciate your help greatly.
 

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Albert Einstein said:
I am not entirely sure if I solved this problem correctly. Please let me know if my reasoning is flawed. Thank you and I appreciate your help greatly.
 

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In the first, post your "bounding" is wrong. $x^2(x^2- 2)$ is less than or equal to $-x^2$.

For the second, yes, that is correct.
 

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