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sidship21
Hi All,

I have a doubt: when we combine the statements, by inserting St-2 into St-1, we have that
x+y=-12 --> (St-1)
x+(x-12) <-12 --> (since St-2 is y<x-12)

Solving this gives x<0, which I understand is incorrect. When I insert St-1 into St-2, I get x>0 however, I really want to know why the above produces a wrong answer.

Bunuel GMATBusters ScottTargetTestPrep

Thank you

Solution:

The mistake in work is at the step where you insert Statement 2 into Statement 1. Notice that statement 2 is y < x - 12; so when you replace y by x - 12 (which is greater than y), you will obtain an expression which is greater. In other words, x + (x - 12) is greater than x + y since x - 12 is greater than y.

x + y < x + (x - 12)

Now, using the first statement, if you substitute -12 for x + y, you’ll get:

-12 < x + (x - 12)

0 < 2x

x > 0

Answer: C
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