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Question on modulus?

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fozzzy
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Question on modulus? [#permalink] New post   21 May 2013, 22:42
For example the question is

x = I X I

then if x > 0 then X = X

and if X < 0 then X = - X

is this correct



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nksbits
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Re: Question on modulus? [#permalink] New post   21 May 2013, 23:27
y = |x|
implies
y= x when x>=0
y= - x wen x<0
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MacFauz
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Re: Question on modulus? [#permalink] New post   22 May 2013, 00:08
I would add, if x = 0, x = |x|

A condition that is often overlooked and used especially in the DS section.
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Re: Question on modulus? [#permalink] New post   22 May 2013, 03:01
Expert Reply
fozzzy wrote:
For example the question is

x = I X I

then if x > 0 then X = X

and if X < 0 then X = - X

is this correct


Absolute value properties:
When \(x\leq{0}\) then \(|x|=-x\), or more generally when \(some \ expression\leq{0}\) then \(|some \ expression|\leq{-(some \ expression)}\). For example: \(|-5|=5=-(-5)\);

When \(x\geq{0}\) then \(|x|=x\), or more generally when \(some \ expression\geq{0}\) then \(|some \ expression|\leq{some \ expression}\). For example: \(|5|=5\).

For more check Absolute Value chapter of Math Book: math-absolute-value-modulus-86462.html

DS questions on absolute value to practice: search.php?search_id=tag&tag_id=37
PS questions on absolute value to practice: search.php?search_id=tag&tag_id=58

Tough absolute value and inequity questions with detailed solutions: inequality-and-absolute-value-questions-from-my-collection-86939.html

Hope it helps.



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Re: Question on modulus? [#permalink]
22 May 2013, 03:01
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