Question

Write the power set of:

Answer 1

\[[ (\phi),\phi ]\]

Answer 2

2^0 = 1

So phi.....is the only Powerset.....am i right ?

Answer 3

@helder_edwin

Answer 4

u mean the power set of
\[ \large \{\{\emptyset\},\emptyset\} \]
?

Answer 5

Yup

Answer 6

@helder_edwin

Answer 7

so it has two elements, then the power set gotta have 2^2=4 elemments

Answer 8

But Phi is a null set...

Answer 9

We dont count phi as an element ryt?

Answer 10

if
\[ \large A=\{\{\emptyset\},\emptyset\} \]
then
\[ \large P(A)=\{\emptyset,\{\emptyset\},\{\{\emptyset\}\},
\{\{\emptyset\},\emptyset\}\} \]

Answer 11

yes we do

Answer 12

is subset = powerset ?

Answer 13

WHATEVER is inside the first pair of braces is an element of the set.

Answer 14

no. subset is a relation between two sets.
the power set of a set is a set.

Answer 15

r they equal ? @helder_edwin

Answer 16

What if the question is write the subset of the following question

Answer 17

@helder_edwin

Answer 18

sorry. my internet connection isn't very good.

Answer 19

oh..no...

Answer 20

as i posted, they r different concepts

Answer 21

what was the other question?

Answer 22

Write the subset of {∅,{∅}} ?

Answer 23

wouldnt that be same as Powerset

Answer 24

But with out Braces at right and left

Answer 25

a subset of that set would be
\[ \large \{\emptyset\} \]
for instance

Answer 26

So subset is not equal to Powerset...

Answer 27

NO.

Answer 28

Ok....Thxxx...Buddy...:)

Answer 29

If A is a set, then its power set, P(A), is the set of all subsets of A.

Answer 30

u r welcome