Modulus problem

[gmat009]

If a<y<z<b , is |y-a| < |y-b|

a) |z-a| < |z-b|
b) |y-a| < |z-b|

[cramya]

Refer to my post here:

https://www.beatthegmat.com/gmatprep-dou ... 22395.html

Let me know if u have questions.

[gmat009]

Refer to my post here:

https://www.beatthegmat.com/gmatprep-dou ... 22395.html

Let me know if u have questions.

I have read Ian's post but just thinking if someone comes up with different approach

[cramya]

U mean my post correct?? Ian has not posted yet and may be we can request him to see if he can suggest us other alternatives for approaching thsi problem.

[gmat009]

U mean my post correct?? Ian has not posted yet and may be we can request him to see if he can suggest us other alternatives for approaching thsi problem.

No , I think Ian posted solution to this problem somewhere and he also used absolute method.
I am not having link to this problem

[logitech]

If a<y<z<b , is |y-a| < |y-b|

a) |z-a| < |z-b|
b) |y-a| < |z-b|

a---1--------y-----2------z-------3---------b

Between these 4 points, there are three distances: 1, 2 and 3

Question : Is 1 < 2+3 ?

St 1)

1+2 < 3

well if 3 is bigger than 1+2, 3+2 will be definetly bigger than 1 - SUF

St 2)

1 < 3 ; same logic, if 3 is bigger than 1, 3+2 is bigger than 1 - SUF

Hence, D

[stop@800]

U mean my post correct?? Ian has not posted yet and may be we can request him to see if he can suggest us other alternatives for approaching thsi problem.

The method mention by you is the best and most simple.
No other method will give you results in 1min.

[logitech]

U mean my post correct?? Ian has not posted yet and may be we can request him to see if he can suggest us other alternatives for approaching thsi problem.

The method mention by you is the best and most simple.
No other method will give you results in 1min.

NO OTHER METHOD is a very strong phrase for arguments STOP:


mine takes only 23 seconds!

[cramya]

mine takes only 23 seconds!

Mine took 22.99999999999 secs Explanation longer.

Thats a nice approach too! Essentially we have done the same thing; u have used numbers and pictures and I have used words to explain.

Good luck!

[stop@800]

U mean my post correct?? Ian has not posted yet and may be we can request him to see if he can suggest us other alternatives for approaching thsi problem.

The method mention by you is the best and most simple.
No other method will give you results in 1min.

NO OTHER METHOD is a very strong phrase for arguments STOP:


mine takes only 23 seconds!

your method is same as what cramya did.