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|dw:1328399150129:dw|

\[3x^2\ge0 \hspace{.5cm}\forall x,\hspace{.2cm}\because x^2\ge 0\]

Thank you! Is that correct notation? I mean would it "grammaticly" correct?

are you trying to do set builder notation?

yes

Are you trying to determine the solution of that inequality?

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|dw:1328399493672:dw|

Is this calculus, where you are proving intervals that are increasing and decreasing?

Yes this calculus, but the calculus wasn't the problem, it was just the notation