Question

. Given the following set, select the statement below that is true.
A = {q, r, s, t, u}
p ∈ A
5 ∈ A
r ∉ A
s ∈ A
A ⊆ Ø

Answer 1

s ∈ A

Answer 2

s belongs A

Answer 3

can u explain to me how to do this problem and figure it out? please

Answer 4

just dont tell me the answer please

Answer 5

\(\in\) means 'in' or that \(a \in B\) means that there is an 'a' in the set B.

Answer 6

If there is a line through it like \(\notin\) that means that the item is NOT in the set.

Answer 7

as u can see u have in set A {q, r, s, t, u} the letter s , so belongs to the set a

Answer 8

so S belongs to set A ****

Answer 9

So looking at the first option \(p \in A\) we check the set A. There is no p in it. Therefore this option is false.

Answer 10

There is also no 5 in A. Therefore option 2 is false.

Answer 11

The third option says r is NOT in A. We look at A. r is in there. Therefore this option is false.

Answer 12

Next option says \(s \in A\). There is an s in A. Therefore this is true.

Answer 13

so it would be the last one? cuz there is no 0 in A?

Answer 14

im confused!

Answer 15

No. It would be the 4th one. \(s \in A\) is TRUE.

s is an element of A.

Answer 16

The last one is false because it's saying that A is a subset of an empty set. Which would only be true if A were empty and it's not.

Answer 17

there is 5 elements in A thats how thats the answer

Answer 18

What?

Answer 19

it says 5 ∈ A there is NO 5 in A

Answer 20

That is option 2.

Answer 21

there is 5 elements in A

Answer 22

And you are right. It is false.

Answer 23

That means the cardinality of A is 5, but there is no 5 in A. So it cannot be 5 ∈ A

Answer 24

ok so s in A its true

Answer 25

yes.

Answer 26

so that would be the answer.. :)

Answer 27

yes

Answer 28

ty :)

Answer 29

if i post a Venn diagram will u help me out? its asking for subset of P using set notations

Answer 30

I'm not sure why you need Q there.

Answer 31

the set notation i have written down would be P={u,l,c,k}

Answer 32

That's P yes

Answer 33

P is a subset of P. So that will be your first one.

Answer 34

Thats part of the question...
thats what they are asking for is all of subsets of P

Answer 35

Now list all the subsets of P that have cardinality of 3

Answer 36

it would be the P={u,l,c,k}

Answer 37

right?

Answer 38

Huh? That is P. That is one of the subsets of P. That is not all of the subsets.

Answer 39

the other one is Q and its not part of P

Answer 40

I don't understand what that has to do with listing the subsets of P.

Answer 41

yea me either..this is the problem the professor game me

Answer 42

The subsets of P depend only on the elements in P.

Answer 43

am i missing subsets of P? wouldnt it be just the ones that are in P only?

Answer 44

These are the subsets of P:
{u,l,c,k}
{u,l,c}
{u,l,k}
{u,c,k}
{l,c,k}
{u,l}
{u,c}
{u,k}
{l,c}
{l,k}
{c,k}
{u}
{l}
{c}
{k}
{}

Answer 45

oh ok.. so i have to write it all out ... gottcha

Answer 46

all the way down to {}

Answer 47

when it asks for subsets u have to write them ALL out..

Answer 48

If it asks for all subsets. I would write them all.