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Absolute Modulus difference

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Manager
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Absolute Modulus difference  [#permalink]

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New post 12 May 2017, 06:36
Hello everyone:

I would like to ask a small (and maybe stupid) question:

Are there any differences between writing |a| = |b| and |a| = b ?

Or in both cases it's A = B or A = -B ?

Thanks a LOT
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Re: Absolute Modulus difference  [#permalink]

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New post 12 May 2017, 07:01
1
MvArrow wrote:
Hello everyone:

I would like to ask a small (and maybe stupid) question:

Are there any differences between writing |a| = |b| and |a| = b ?

Or in both cases it's A = B or A = -B ?

Thanks a LOT


Hi MvArrow ,

No, if we are saying |A|= |B| we cannot say |A| = B, because it may happen that b is -ve. In that case, |a| will become -ve but this is against the modulus rules.

So, |A| = B is correct only when we are given that B is positive.

Let me know in case of more doubts.
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Re: Absolute Modulus difference  [#permalink]

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New post 12 May 2017, 07:24
abhimahna wrote:
MvArrow wrote:
Hello everyone:

I would like to ask a small (and maybe stupid) question:

Are there any differences between writing |a| = |b| and |a| = b ?

Or in both cases it's A = B or A = -B ?

Thanks a LOT


Hi MvArrow ,

No, if we are saying |A|= |B| we cannot say |A| = B, because it may happen that b is -ve. In that case, |a| will become -ve but this is against the modulus rules.

So, |A| = B is correct only when we are given that B is positive.

Let me know in case of more doubts.


Thank you for your fast reply!
What I mean is (please tell me if my reasoning is correct):

If I say |A| = |B|, I am saying A = B or A = -B, right?

Instead, what |A| = B means?

Thank you :-D
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Absolute Modulus difference  [#permalink]

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New post 12 May 2017, 07:34
1
MvArrow wrote:
Thank you for your fast reply!
What I mean is (please tell me if my reasoning is correct):

If I say |A| = |B|, I am saying A = B or A = -B, right?

Instead, what |A| = B means?

Thank you :-D


|A| = |B| means either A = B or A = -B.

But |A| = B means (B is positive or 0) and (A could be -ve, +ve or 0)
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Re: Absolute Modulus difference  [#permalink]

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New post 12 May 2017, 07:38
1
MvArrow wrote:
Hello everyone:

I would like to ask a small (and maybe stupid) question:

Are there any differences between writing |a| = |b| and |a| = b ?

Or in both cases it's A = B or A = -B ?

Thanks a LOT



Hi,

Let's see the two cases..
|a|=|b| ...
This means that the numeric value of a and b without the sign is same...
So on number line both a and b can lie on either side of 0..
If a=2, b can be 2 or -2.... And if a=-2, b can again be 2 or -2..
|a|=b...
This means the NUMERIC value is same and B will be positive and a can be anything.
So on number line B will be on POSITIVE side of 0 and a can be on either side of 0..
If a=2, b=2... If a=-2, b is again 2
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: Absolute Modulus difference  [#permalink]

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New post 12 May 2017, 08:19
Perfect! Thank you for the support! Kudos to everyone :-D
Re: Absolute Modulus difference &nbs [#permalink] 12 May 2017, 08:19
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