Solve √x>=x ? ! Please help me! I don't understand how to solve this ): 10 points :)
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Solve √x>=x ? ! Please help me! I don't understand how to solve this ): 10 points :)

[From: ] [author: ] [Date: 11-10-24] [Hit: ]
......
I don't really understand how to solve this ) : please help !

-
sqrt(x) >= x
===> (sqrt(x))^2 >= x^2 ... (f(x) = x^2 is increasing for x >= 0)
===> x >= x^2
===> x^2 - x <= 0
===> x(x - 1) <= 0
===> x - 1 <= 0 ... (since x >= 0)
===> x <= 1

Combining, this gives us the solution:

0 <= x <= 1
1
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