Question

Why is this false?
{0} SUBSET { {0} } = false

Answer 1

I'm confused, isn't {0} a member of the set { {0} } ?

Answer 2

Or is it a typo in the answer key?

Answer 3

list all the subsets of {{0}}

Answer 4

Same thing, the professor has
{3,{4}} SUBSET {3,{3,{4}}}
as false in their answer key.

Answer 5

is {0} one of them

Answer 6

$$\oslash, {0}$$

Answer 7

no

Answer 8

Ahh, wait I'm thinking power set

Answer 9

0 is not a subset

Answer 10

And the braces did not render in LaTeX

Answer 11

I meant to type $$ \{0\} $$

Answer 12

list all the subsets of

{a}

Answer 13

a

Answer 14

a is an element of {a} but a is not a subset of {a}

Answer 15

I think I understand now.

$$ A = \{1,2,3\} $$
$$ B = \{3\} $$

$$ B \not \subset A $$ because $$ \{3\} \not \subset \{1,2,3\} $$

But if A were $$ A =\{1,2,\{3\}\} $$ then $$ B \subset A $$

Answer 16

no

\[\{3\}\subset\{1,2,3\}\]

\[\{3\}\in\{1,2,\{3\}\}\]

Answer 17

No ... wait that's the same thing as
$$ B = \{0\} $$ and $$ A = \{\{0\}\} $$

Answer 18

Holy crap @zarkon, I feel like an idiot.

That last post made me completely understand.

Thank you!

Answer 19

I was getting confused between $$ \subset $$ and $$\in$$

Answer 20

ah