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modulus

Expert replies
Source: — Data Sufficiency |

by harsh.champ » Fri Feb 19, 2010 11:45 am
thephoenix wrote:if y>=0 , what is the value of x?

1) lx-3l>=y

2) lx-3l<=-y
Now,y is non-negative.
Statement 1:-
Case 1:-If (x-3) is +ve ,then x-3>=y
or x>=y+3
Case 2:-If (x-3) is -ve,then 3-x>=y
or x+y<=3

Statement 2:-
Case 1:-If (x-3) is +ve ,then x-3<=-y
or x+y<=3.
Case 2:-If (x-3) is -ve,then 3-x<=-y
or x>=y+3

We see that both the statements represent the same thing.
Also,value of x cannot be determined from both .Hence,E.
It takes time and effort to explain, so if my comment helped you please press Thanks button :)



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by shashank.ism » Sun Feb 21, 2010 6:20 am
thephoenix wrote:if y>=0 , what is the value of x?

1) lx-3l>=y

2) lx-3l<=-y

The same has been discussed over here ..very well by various instructors..

https://www.beatthegmat.com/absolute-value-t14312.html
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