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605-655 (Medium)|   Inequalities|                                    
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CEdward
ueh55406

I solved this question, but I am wondering: what's the 'trigger/sign' that we should use to know whether we should add or subtract inequalities. I did so here only based on intuition more than any real practical insight.

If x+y+z> 0 is z > 1?

(1) z>x+y+1
Add both inequalities and we get z > 1/2
Insufficient
(2) x+y+1<0
Subtract both inequalities and we get z > 1
Sufficient.

B.

I am not sure if this is still helpful but whenever u see such questions where 2 inequalities are provided in the question in order to find a given range - My first approach to try would be to add or subtract when u see similarity in variables. I agree that this approach may not be helpful everywhere but whenever you see that you need to get the range of only certain variable/variables such that I am able to eliminate the common variables/numbers that I do not need based on the other equalities already provided I would use this approach.
Of course it's not a very attractive answer but ample practice will help u identify such patterns more intuitively. There's one more question linked below where this approach helps - https://gmatclub.com/forum/a-manufacturer-wants-to-produce-x-balls-and-y-boxes-resource-constrai-322405.html.
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eddyed911
If \(x + y + z > 0\), is \(z > 1\) ?

(1) \(z > x + y + 1\)
(2) \(x + y + 1 < 0\)





Nick Slavkovich, GMAT/GRE tutor with 20+ years of experience

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