# Thread: NEED Help ASAP (Due in 2 hour) - Just tell if true or false dealing with empty set)

1. ## NEED Help ASAP (Due in 2 hour) - Just tell if true or false dealing with empty set)

Sorry for this being late:

Q: Determine whether these statements are true or false.

a.) {}

b.) {,{}}
c.) {}{}

d.) {∅} {{}}
e.) {} {,{}}

f.) {{}} {,{}}
g.) {{}} {{∅},{}}
__________________________________________________ _____________________
I have a.) True, and f.) True. Cant figure out the rest?

2. Originally Posted by Grillakis
Sorry for this being late:

Q: Determine whether these statements are true or false.

a.) {}

b.) {,{}}
c.) {}{}

d.) {∅} {{}}
e.) {} {,{}}

f.) {{}} {,{}}
g.) {{}} {{∅},{}}
__________________________________________________ _____________________
I have a.) True, and f.) True. Cant figure out the rest?
a) is correct
b)True has same logic as (a)
c)False because every set is NOT an element of itself
d)is correct because {∅} is an element of the other one
e)is correct becuse ∅ is an element of second set
f)Correct, almost same as e) watch in same way
g)its correct same logic almost same as e)

Tell incase if you find difficulty

a) is correct
b)True has same logic as (a)
c)False because every set is NOT an element of itself
d)is correct because {∅} is an element of the other one
e)is correct becuse ∅ is an element of second set
f)Correct, almost same as e) watch in same way
g)its correct same logic almost same as e)

Tell incase if you find difficulty
thanks ADARSH...what I just dont understand is when its like this for example
{,{}}. Thats what I don't get.

4. Originally Posted by Grillakis
thanks ADARSH...what I just dont understand is when its like this for example
{,{}}. Thats what I don't get.
{,{}}means

- ∅ and {} are elements of the set {,{}}

-Here the second element ie; {} is also a set having its own element ∅

Got it,

{,{}}means

- ∅ and {} are elements of the set {,{}}

-Here the second element ie; {} is also a set having its own element ∅

Got it,
so regardless if its like this {,{}} or this {{},{}}} its going to have its own element? Does this hold true for subsets aswell?

6. Originally Posted by Grillakis
so regardless if its like this {,{}} or this {{},{}}} its going to have its own element? Does this hold true for subsets aswell?
First of all
NULL set is a subset of every set

an example

Let {a,{{b}},{c,a,d}} be a set

here
{a} is its subset
{ {{b}} }is its subset
{ {c,a,d} } is its subset
and Null set are the only subsets of it

elements are
a, {{b}},{c,a,d} and Null

When we talk of the set {c,a,d} alone
c,a,d and Null are elements
and {a}, {c}, {d} and Null set are its subset

First of all
NULL set is a subset of every set

an example

Let {a,{{b}},{c,a,d}} be a set

here
{a} is its subset
{ {{b}} }is its subset
{ {c,a,d} } is its subset
and Null set are the only subsets of it

elements are
a, {{b}},{c,a,d} and Null

When we talk of the set {c,a,d} alone
c,a,d and Null are elements
and {a}, {c}, {d} and Null set are its subset
ok. I see now. Thanks ADARSH