ATAR Notes: Forum
VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: lisafaustina on October 08, 2010, 08:18:07 pm
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when do we swap the inequality sign?
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When you multiply or divide by a negative number I believe.
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Sometimes when finding solutions for quadratic inequalities I think you have to graph the parabola and through observation decide which which on of your values is greater or less than then intersection point.
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When you have two negatives on either side.
And also:
http://vcenotes.com/forum/index.php/topic,27844.msg297887.html#msg297887 -> If you needed an example.
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If both sides have the same sign and you reciprocate them
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i think theres a whole list of rules for different topics but the main ones are when u neg both sides or u flip both sides
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when you do logarithms with numbers less than 1 you change the direction also
(might be useful in some binomial distribution questions)
eg:


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when you have something like
xln(2) > ln(3)
does that become
x<ln(3)/ln(2)
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Good notes on inequalities, take a read.
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when you have something like
xln(2) > ln(3)
does that become
x<ln(3)/ln(2)
It's only when the argument (in the log) is less than 1 because then it is a negative value and thus dividing by negative you switch the sign.
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Sometimes when finding solutions for quadratic inequalities I think you have to graph the parabola and through observation decide which which on of your values is greater or less than then intersection point.
This is the easiest way...
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Good notes on inequalities, take a read.
Wow as if we haven't been taught this formally in school!?!? I like these notes. Can more be found on other topics on the forum?
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Good notes on inequalities, take a read.
Wow as if we haven't been taught this formally in school!?!? I like these notes. Can more be found on other topics on the forum?
They're beast! I WANT SOME MORE!