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

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


   

Question 388697: Hello, I have to solve this inequality but I don't know how to do.
+x%5E2%3C=+sqrt%28+2+%29%2Ax%5E2+
Thanks!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^2<= sqrt( 2 )*x^2
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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.
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Cheers,
Stan H.