Is 0 (with a line drawn through it) included in a subset of a set of numbers, or would it only be the numbers?

Question

ranga · Answer

zero with a line drawn across it usually denotes a null set.

anonymous · Answer

If i had {5,9,4} I can make {5}, {9}, {4}, {5,9}, {9,4} but the zero with a cross through it isn't a part of the subset?

ranga · Answer

No.  zero with a line drawn across it means it is an empty set.  It has nothing in it.  It has No numbers, no anything.

By the way, in the example you gave you can make one more subset: {5, 4}

anonymous · Answer

thank you! haha it was just an example, i'm trying to get a better understand of how to do subsets, thats all.

ranga · Answer

sure. np.

zarkon · Answer

$\emptyset$ is a subset of every set

so 

$$\emptyset\subseteq\{5,9,4\}$$