If x is an integer, is x |x| < 2x ?
(1) x < 0
(2) x = –10
DS from OG.
OA is D for the following reasons:
When you first see a DS question, see if there is anyway to simplify the question stem
In this case, since |x| is positive, we can divide both sides by |x| giving us a new question stem --> is x < 2?
S1: x<0, therefore x must be <2 = sufficient
S2: x = -10 and -10 < 2 = sufficient
Let me know if this helps!
The OA is wrong here because of the following reasons:
(1) if x=-10 then -100<-20, on the other hand if x= -1, x<0 then the inequality changes from < to >, namely, -1 > -2 ; This statement is absolutely insufficient!
(2) This statement is obviously sufficient!
So, the correct answer is not
, but B