Is it true that a b ? (1) a + 3 b – 1 (2) a |b|

Question

Is it true that a > b ?
 
(1) a + 3 > b – 1
(2) a > |b|

rohit8865 · Answer

(1) a+4>b
 if a= 3 , b= 4 then b>a
but if a =5 , b =2 then a>b
insuff

(2) we can derive 2 points :-
a >=0

IaI> IbI
since IaI>0 ,,IaI=a

thus irrespective of polarity of b
 a>b

suff

Ans B

Gonner · Answer

1: a>b-4 
this condition will satisfy even if both a and b have same value so its insufficient.

2: a>|b|
this condition makes sure that a is positive and greater than b. Sufficient

The answer should be B

monishgmat · Answer

1. a+3 > b-1
Try a = 3 and b = 2
6 > 1
So a > b
Try another negative case a = -4 and b = -1
-1 > -2
But -4 < -1 . So a < b.

Hence the options A and D shall be eliminated.

2. a > |b|
Try a = 3 ; b = 2
Its true. a>b

Try a= 4 and b = -3
4>3

So option B is enough

eddy8700 · Answer

Statement 1 is insufficient
Lets look at statement 2
 a>|b|
that means a is always greater than b
for ex take b=-3
then a>|-3| i.e a > 3
so a >b

another case 
b=3
then a>|3| i.e a > 3
so a >b
answer is B

KrishnakumarKA1 · Answer

St 1: a+3>b-1 or a-b>-4. if a-b is negative a<b and if a-b is positive, a>b. INSUFFICIENT

St 2: a>|b|. therefore a>b and a>-b too. ANSWER

Option B

coolkl · Answer

"Infer - a > b ? S-1) b < a+4. b =2 and a = 1 a < b or b = 1 and a = 2, a > b. NS S-2) a > |b| means a > +b and a > -b. Sufficient Answer is B"

Is it true that a > b ? (1) a + 3 > b – 1 (2) a > |b|

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