Positive or negative

Is zero (0) a positive no., negative or both?

Why is the set of non-negative reals defined as [0,∞) and negative reals as (-∞, 0)?

8 Answers

62
Lokesh Verma ·

oh for a moment I thought you were the asish from the last year and just stopped from answering cos i thought it was his question for freshers :) (same name.. try go get the same rank :)

waise 0 is neither -ve nor +ve.. it is zero :)

30
Ashish Kothari ·

:)

But then why the discrimination in the definition of negative reals?

62
Lokesh Verma ·

where is the discrimination?

+ve (0, infinity)

-ve (-infinity, 0)

30
Ashish Kothari ·

In one of the books it was given for non negative reals as [0,∞).

106
Asish Mahapatra ·

look u are urself giving the answer

negative : (-∞,0)
non-negative : R - (-∞, 0) ≡ [0, ∞)

positive : (0, ∞)
non - positive : R - (0, ∞) ≡ (-∞, 0]

30
Ashish Kothari ·

Amazing explanation! Thanks! :)

"non-negative"! the bone of contention! :D

6
Kalyan IIT-K Beware I'm coming ·

well 0 is 0
my doubt where do u need these things??i mean there isnt any application of such things...so why are you pondering over it?

6
AKHIL ·

ya thats a good one
0 is a 0!!!!!!!!!!:D

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