Is x > y?
(1) x^2 > y
(2) x - |y| > 0
Can you please suggest me ways to handle inequalities. I take a lot of time to solve inequality DS questions.
I usually face problems in choosing numbers to handle such questions
Inequalities and Modulus
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Is x>y ?
st1] x^2 > y
Here if x <0 such that |x| > y, then the ans to the question is no.
If 0<y<x then the ans to the question is yes.
Insuff.
St2] x - |y| > 0
this means x > |y|
|y| must be = or > 0
hence x must be > 0, while y could be -ve, 0 or +ve.
In all the 3 cases x must be > y.
Choose B.
st1] x^2 > y
Here if x <0 such that |x| > y, then the ans to the question is no.
If 0<y<x then the ans to the question is yes.
Insuff.
St2] x - |y| > 0
this means x > |y|
|y| must be = or > 0
hence x must be > 0, while y could be -ve, 0 or +ve.
In all the 3 cases x must be > y.
Choose B.
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Pick values
Stmt1: x =2 and y =1 x>y
x =-2 and y =1 x< y Hence Not Suff. I get two contradictory values
Stmt2: x =2 and y =1 . x>y
x= 2 and y = -1 x>y SUFF
Ans B
Stmt1: x =2 and y =1 x>y
x =-2 and y =1 x< y Hence Not Suff. I get two contradictory values
Stmt2: x =2 and y =1 . x>y
x= 2 and y = -1 x>y SUFF
Ans B