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Question on modulus?

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Question on modulus? [#permalink] New post 21 May 2013, 21:42
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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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Re: Question on modulus? [#permalink] New post 21 May 2013, 22:27
y = |x|
implies
y= x when x>=0
y= - x wen x<0
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Re: Question on modulus? [#permalink] New post 21 May 2013, 23:08
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, 02:01
Expert's post
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, 02:01
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