Advanced Quant Drills Question 5

[deodhar.swanand]

I encountered the following problem on Manhattan advanced Quant

Is |2a - b| < 7?

(1) 2a - b < 7
(2) a = b + 3

The answer according to me is (C). Here is my logic:

From (2) we can infer
a=b+3
a-b=3>0
2a>a
2a-b>a-b>0
2a-b=|2a-b|

Combining (1) and (2), we know
0<2a-b = |2a-b|<7

However, (E) is highlighted as the correct answer. What am I missing here?

[deodhar.swanand]

My bad. Just as I posted, I realized the mistake. Thanks anyway!

--
Regards,
Swanand

[jnelson0612]

It's great to realize your own mistake! :-) Thanks for letting us know.