Solve Inequality: f(x)=1-x-x3, 1-f(x)-f3(x)>f(1-5x)

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The discussion revolves around solving the inequality involving the function f(x)=1-x-x^3. The original poster expresses uncertainty about how to approach the problem and seeks hints to get started. After some consideration, they realize they should have thought through the problem more independently. Ultimately, the issue is resolved, indicating that the poster found a solution. The conversation highlights the importance of persistence and self-reflection in problem-solving.
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Homework Statement


Let f(x)=1-x-x3. Find all the real values of x satisfying the inequality, 1-f(x)-f3(x)>f(1-5x).

Homework Equations


The Attempt at a Solution


I honestly don't know how to start with this one. Substituting f(x) directly in the inequality doesn't look like a good idea. I need a few hints to begin with.

Any help is appreciated. Thanks!
 
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Problem solved. Sorry for the trouble, I should have thought upon it some more.
 

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