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Inequalities

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Inequalities

by acg » Tue Nov 18, 2008 3:26 pm
Is a > d?
1. a + b > c + d
2. b < c

It's quite obvious 1 is not sufficient as we have no clue about the value of b and c.

2 does not say anything.

Then, considering 1 and 2, I would say the correct answer is C. As b < c, a has to be greater than d to compensate.

Could you please confirm is this is the right approach and answer?

Thanks!
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by Tryingmybest » Tue Nov 18, 2008 3:36 pm
Is a > d?
1. a + b > c + d
2. b < c

Looking at the equations it cannot be A or B or D

from a + b > c + d => b-c>d-a

from b < c => b-c <0

Combining both 0>b-c>d-a
0>d-a => a>d

so C :D
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by Tryingmybest » Tue Nov 18, 2008 3:39 pm
or another method
1. a + b > c + d
2. b < c
Multiply -1 on both sides in second equation=> -b > -c


Add the equation with the first eqution we get a >d so C :D
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by cramya » Tue Nov 18, 2008 3:59 pm
Is a > d?
1. a + b > c + d
2. b < c
Is this the complete question or does it say anything about the signs of a.b.c.d? Jus checking.

Also please post the correct answer if possible using spoiler:

[spoiler]OA:WHATEVER THE CORRECT CHOICE IS[/spoiler]

OA- OFFICIAL ANSWER
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by acg » Tue Nov 18, 2008 5:07 pm
This is the complete question. It does not say anything about the signs of a, b, c and d.

Thanks a lot Tryingmybest for your replies. They really helped me :-)

OA: C
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