Another way to look at the second statement is this. this will save u a lot of time. won't even have to plug in for this.

Remember that |x| >y (or any such relation, no matter >,< or =) can be written as

-y>x>y.

(that is, just remember to keep the relation the same and just put negative on the left hand side and positive on the right hand side.)

so... statement 2 says r<|S|

meaning |s|>r ==> -r>s>r

so on the left hand side, S lies further left of -r, such that if r is 2 and thus -r is -2, s is even less and so s is -3 thus s is less than r, and so the main queston r>s is answered yes. but on the right hand side, s>r so the main question is answered no. hence stmt 2 is not sufficient.

DesecratoR wrote:

Is r > s ?

(1) -r + s < 0

(2) r < | s |

Well, 1st one is clear but I have some difficulties with second statement. I guessed it's not sufficient but need clarification. Thank you!