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Chapter 7: Problem 1

If \(0x^2 $$ \(x

Short Answer

Expert verified
For the interval \(0 x^2\) is true.

Step by step solution

01

Graph Function Analysis

Draw the graphs of \(f(x) = x\) and \(g(x) = x^2\). The shape of the curves helps us to visualize the problem and understand the behavior of these functions between 0 and 1.
02

Point Comparison

Compare the points on the functions \(f(x) = x\) and \(g(x) = x^2\). For \(0 x^2\) for \(0<x<1\).
03

Conclusion

Based on the visual inspection of the graphs and the value comparison, it can be concluded that \(x > x^2\) for the given interval \(0<x<1\).

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