Inequality questions in DS

Hi guys: I constantly get inequality questions in DS wrong. Particularly the ones which ask whether one side is greater or lesser than the other. Eg: Is x < y (a) 2x < 3y (b) xy > 0 Is 1/(a-b) < b-a (a) a < b (b) 1 < |a-b| I try to approach them algebraically and do not get conclusive answers and by...

Hi ri2007, Your option 1 is the same as the option 2. When we have a modulus on a side that means it can have two values +/-. When there is a modulus on both sides that means that both sides will have a +/- |x+1| = 2|x-1| +/- (x+1) = +/- (2(x-1)) which leads to the following options: x+1 = 2(x-1) or...

ri2007: Nice timing on your post, now it really looks I am losing my mind.

I get what you are saying on the Q1.

Thanks.

Gabriel: I apologize. 1. Answer is E Just wanted to understand how the first statement is not enough? 2x < 3y => x <3y/2 Doesn't this give a relationship enough to prove x < y. I know its wrong but I cannot seem to prove it. 2. Answer is A Statement 1: First of all there are infinite number of prime...