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anonymous
 4 years ago
I have a question about notation. Just let me write it out.
anonymous
 4 years ago
I have a question about notation. Just let me write it out.

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[3x^2 >= 0\] \[\forall x \] (three dots like a triangle upside down) x^2 is always positive. Sorry for the line spacing, it should all be on one line. Would this read: "3x^2 is more than or equal to 0 for all x because x^2 is more than or equal to zero" ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thank you, but it was the latter part I wasn't sure about. For all x And the triangle ( http://en.wikipedia.org/wiki/Because_sign )

Zarkon
 4 years ago
Best ResponseYou've already chosen the best response.2\[3x^2\ge0 \hspace{.5cm}\forall x,\hspace{.2cm}\because x^2\ge 0\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thank you! Is that correct notation? I mean would it "grammaticly" correct?

precal
 4 years ago
Best ResponseYou've already chosen the best response.0are you trying to do set builder notation?

precal
 4 years ago
Best ResponseYou've already chosen the best response.0Are you trying to determine the solution of that inequality?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The original problem was. Prove that x^3  ax is increasing for all x if a < 0 But I wanted to use proper notation.

precal
 4 years ago
Best ResponseYou've already chosen the best response.0Is this calculus, where you are proving intervals that are increasing and decreasing?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yes this calculus, but the calculus wasn't the problem, it was just the notation

precal
 4 years ago
Best ResponseYou've already chosen the best response.0Usually when you are asked to prove an increasing or decreasing interval. Step 1: You take the derivative of the given function Step 2: You take that equation and set it equal to zero and solve the solutions that are positive represent increasing the solutions that are negative represent decreasing I am not sure you were on the correct track Nevermind what you solution is, the professor would have realized that you were not doing the problem correctly. Stating the wrong solution correctly does not make the solution correct. In mathematics we look for the correct process, correct solutions and correct mathematical notation ie set builder notation
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