which of the 3 integers a, b, c is the smallest?
st 1 b+c = 7
st 2 ab > |abc|
Plz explain your reasoning most of all concerning st 2
Found st 1 Clearly insufficient
no OA given
I get C.
1) Insufficient, no info on C
2) ab > |abc|, then ab must be positive. Either both a & b are positive or both are negative.
Given the above, c must equal 0 (since c is an integer and can not be a fraction). If c is anything else but 0, then the equation doesn't hold true:
ie) ab = 2 c = 1 2>2? No
ab = 2 c = -1 2>2? No
Also, neither a nor b can equal 0.
We know that C = 0. From St. 1, we know that A and B are positive. Thus, C must be the smallest.