is 1/(a-b) < b - a?
st1 a < b
st2 1 < absolute value of (a - b)
so statement 1 i was able to prove by picking values
meeting condition of a<b
a = 3 and b = 4
so 1/(3 - 4) =-1 < 4-3
then a = 1/4 and b = 3/4
we get 2 < some fraction which proves st1 not sufficient
my confusion comes in on second statement which basically says that a -b is a number bigger then 1... does this mean that because its not a fraction the left side 1/(a-b) will always be less then b-a?
what if a-b is a mixed number which is possible since we are not constrained to integers?
gmat prep problem greater then less then
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In short the second statement says that the absolute difference between A and B is positive.(which means nothing at all)
As per 2 : A and B can attain any integer values, a can be 999999999999, b can be -9999999999 or vice versa, no matter what... this statement does not give us idea abt the values of a and b.
hence insufficient
statement 1 tells us that a-b is negative.
or a<b
thus the inequality in question is sufficed (as the left side of inequality becomes negative with this statement)
I would say plugging in numbers is not the best approach in all problems, maybe an expert will highlight ur mistake further
answer is A
As per 2 : A and B can attain any integer values, a can be 999999999999, b can be -9999999999 or vice versa, no matter what... this statement does not give us idea abt the values of a and b.
hence insufficient
statement 1 tells us that a-b is negative.
or a<b
thus the inequality in question is sufficed (as the left side of inequality becomes negative with this statement)
I would say plugging in numbers is not the best approach in all problems, maybe an expert will highlight ur mistake further
answer is A
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Quant 47-Striving for 50
Verbal 34-Striving for 40
My gmat journey :
https://www.beatthegmat.com/710-bblast-s ... 90735.html
My take on the GMAT RC :
https://www.beatthegmat.com/ways-to-bbla ... 90808.html
How to prepare before your MBA:
https://www.youtube.com/watch?v=upz46D7 ... TWBZF14TKW_