Data Sufficiency

If x is an integer, is x|x| < 2x?

1) x < 0
2) x = -10


OA is D


Can someone explain why statement 1 is sufficient please?

If x = -1, then x|x| = -1 and 2x = -2, so the answer is NO
But, if x = -3, then x|x| = -9 and 2x = -6, so the answer is YES

Therefore, this statement should be NOT SUFFICIENT. What am I missing?

In my edition, the question stem reads:

If x is an integer, is x|x| < 2^x?

Check your text again...

With this question, (1) is sufficient because the left side of the inequality is negative while the right side is positive.

Thanks, my book definitely has 2x instead of 2^x so mine must be a typo.

With the version of question given ....
1 is insufficient to answer the problem as
x< 0 means x can take following values -1, -2 ,-3,-4 etc
with -1 lhs > rhs
-2 lhs = rhs
-3 lhs < rhs
hence there is no unique solution set for this...
option reduced to BCE
with
2. x =-10 is sufficeint enough to conclude hence B must be answer
???? i m correct on this.....

my book has this typo - reads 2x NOT 2^x - thanks for the clarity