modulus

[thephoenix]

if y>=0 , what is the value of x?

1) lx-3l>=y

2) lx-3l<=-y

[harsh.champ]

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.

[shashank.ism]

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