Question

If A={∅}, then n(A)=0

true or false..


is it true?

Answer 1

How many elements A has?

Answer 2

its an empty set

Answer 3

Yeah, so what do you think is the answer?

Answer 4

I think it is not an empty set.

Answer 5

true?

Answer 6

yeah, you're correct

Answer 7

In general nototation an empty set is denoted by \(\phi\) or \( \{ \} \)

Answer 8

From the notation, it looks like, "Set A is the set that contains the empty set." But I might just be being picky.

Answer 9

Where as \( \{ \phi \} \) looks like a singleton or the power set of an empty set.

\[2^{\varnothing} = \{\varnothing\} \]

Hence, the answer is false.

Answer 10

REF:
(1) REF: http://en.wikipedia.org/wiki/Empty_set

(2) http://en.wikipedia.org/wiki/Empty_set#Properties (#7 and #8)