SOLUTION: Hello, I have to solve this inequality but I don't know how to do. {{{ x^2<= sqrt( 2 )*x^2 }}} Thanks!

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Question 388697: Hello, I have to solve this inequality but I don't know how to do.

Thanks!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
x^2<= sqrt( 2 )*x^2
-----
x^2 - sqrt(2)*x^2 <=0
Factor:
x^2(1-sqrt(2)) <= 0
---
x^2(-0.414) <= 0
---
Divide both sides by the negative to get:
x^2 >= 0
---
x is Any Real Number.
=====================
Cheers,
Stan H.

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