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Math: Absolute value (Modulus)

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Re: Math: Absolute value (Modulus) [#permalink] New post   20 Oct 2021, 18:51
yangsta8 wrote:
Hi Walker, Thanks for posting this.

You've written a property that:
|X + Y| >= |X| + |Y|
Is the same true for negative?
|X - Y| <= |X| - |Y|


No, the comparison sign gets reversed in |X-Y|

Ex,
|X+Y| <= |X|+|Y| - Less than equals

|X-Y| >= |X|-|Y| - Greater than equals
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Re: Math: Absolute value (Modulus) [#permalink] New post   02 Nov 2021, 02:57
Could you please help me :cry:

As for the Example #1
Q.:|x+3|−|4−x|=|8+x|
How many solutions does the equation have?
Solution: There are 3 key points here: -8, -3, 4. So we have 4 conditions. :shock: :dazed

SO: what did you do here to make this conclusion about those four conditions?
You equated each |...| to zero? Or what?
Sorry but you just provided those conditions as if it is so obviously, but it is not...;)
What does it mean "there are 3 key points here".. where? :-o
What is the algorithm to recieve those four conditions?
Could you please do not skip this and clarify. :please:
Thank you :tongue_opt3
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Math: Absolute value (Modulus) [#permalink] New post   Updated on: 22 Jun 2023, 11:19
Q.: |x+3|−|4−x|=|8+x|. How many solutions does the equation have?

KarishmaB, I have read all 6 pages on here looking for your explanations but I can't seem to find a post where you solve this question using your patented number line technique. :P I also read all 3 pages of explanations on the original question post, even there you don't actually answer this question anywhere using that technique.
You did answer a loooooot of questions on this and explained stuff using both the number line and without the number line but I couldn't find a post where you by yourself answer this question using the method you would prefer. :P
This Modulus topic is an extremely complicated topic and I really don't wanna read anyone else's explanations but yours as IMO, you are a master at this; also because reading too much of this is just frying my brain. :P So if possible, please answer this question using your patented number line method in one post. :) Thank you sooo much.. :) You truly are a genius. :)

Originally posted by 0Lucky0 on 22 Jun 2023, 11:11.
Last edited by 0Lucky0 on 22 Jun 2023, 11:19, edited 1 time in total.
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Re: Math: Absolute value (Modulus) [#permalink] New post   22 Jun 2023, 11:13
Expert Reply
0Lucky0 wrote:
Q.: |x+3|−|4−x|=|8+x|. How many solutions does the equation have?

KarishmaB, I have read all 6 pages on here looking for your explanations but I can't seem to find a post where you solve this question using your patented number line technique. :P I also read all 3 pages of explanations on the original question post, even there you don't actually answer this question anywhere using that technique.
You did answer a loooooot of questions on this and explained stuff using both the number line and without the number line but I couldn't find a post where you by yourself answer this question using the method you would prefer. :P
This Modulus topic is an extremely complicated topic and I really don't wanna read anyone else's explanations but yours as IMO, you are a master at this also because reading too much of this is just frying my brain. :P So if possible, please answer this question using your patented number line method in one post. :) Thank you sooo much.. :) You truly are a genius. :)


You might find this discussion helpful: https://gmatclub.com/forum/x-3-4-x-8-x- ... 48996.html
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Re: Math: Absolute value (Modulus) [#permalink] New post   22 Jun 2023, 11:17
Bunuel wrote:
0Lucky0 wrote:
Q.: |x+3|−|4−x|=|8+x|. How many solutions does the equation have?

KarishmaB, I have read all 6 pages on here looking for your explanations but I can't seem to find a post where you solve this question using your patented number line technique. :P I also read all 3 pages of explanations on the original question post, even there you don't actually answer this question anywhere using that technique.
You did answer a loooooot of questions on this and explained stuff using both the number line and without the number line but I couldn't find a post where you by yourself answer this question using the method you would prefer. :P
This Modulus topic is an extremely complicated topic and I really don't wanna read anyone else's explanations but yours as IMO, you are a master at this also because reading too much of this is just frying my brain. :P So if possible, please answer this question using your patented number line method in one post. :) Thank you sooo much.. :) You truly are a genius. :)


You might find this discussion helpful: https://gmatclub.com/forum/x-3-4-x-8-x- ... 48996.html

Yea, I did check this as well and this below part in my post was a reply to this topic:
"I also read all 3 pages of explanations on the original question post, even there you don't actually answer this question anywhere using that technique."
Thanks! :)
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Re: Math: Absolute value (Modulus) [#permalink]
22 Jun 2023, 11:17
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