Is m+10 positive?

er.arun88 if m<-5, then m can be, say, -6, in which case m+10 is 4.
So it can be either positive or negative.

hi Arun,

the Q is asking whether m+10 is POSITIVE or not..
YES m here will always be -ive, but m+10 can be anything..
m is anything -100000000... to -10, m+10 will be closer to 0 but m+10 will be <0
but m between -10 and -5 will give m+10 as positive and also m+10 will be closer to 0 than m is..

Is m + 10 positive?

Is m + 10 > 0;
Is m > -10.


(1) On the number line, m + 10 is closer to 0 than to m.

The distance between m + 10 and 0 is |m + 10 - 0| = |m + 10|;
The distance between m + 10 and m is |m + 10 - m| = |10| = 10.

We are told that |m + 10| < 10;
-10 < m + 10 < 10;
-20 < m < 0.

Not sufficient.


(2) On the number line, m - 10 is closer to 0 than to m.

The distance between m - 10 and 0 is |m - 10 - 0| = |m - 10|;
The distance between m - 10 and m is |m - 10 - m| = |-10| = 10.

We are told that |m - 10| < 10;
-10 < m - 10 < 10;
0 < m < 20.

Sufficient.


Technically answer should be B, as statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

But even though formal answer to the question is B, this is not a realistic GMAT question, as: on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other. But the statements above contradict each other:
From (1) -20 < m < 0 and from (2) 0 < m < 20. The statements clearly contradict each other.

So, the question is flawed. You won't see such a question on the test.

A question on same lines with correct statements could be..
https://gmatclub.com/forum/is-x-positive-255673.html

This is one of the Experts Global Cat questions.