Question

Let
X = {5, 10, 15, 20, 25, 30, 35, 40}.
Define a relation

on X as follows. For
a, b is in X,

a

b
if b can be obtained from a by adding a (possibly empty) collection of dimes (10 cents) and quarters (25 cents). So, for example,
25

35, but 25

30.


List all minimal elements of
(X,

).
(Enter your answers as a comma-separated list

Answer 1

http://www.awesomescreenshot.com/image/454102/5c442f15a749a336294b889e959b94fb

Answer 2

lets start with 5
you cannot add 10 or 25 to 5 to get 10
but you can add 10 to 5 to get 15, so \(5R15\)

Answer 3

check my screen shoot,and let me know correct answer only

Answer 4

refresh my memory
what does "minimum elements" of a relation mean?

Answer 5

I don't know i am stuck with this queston, I don't know

Answer 6

so can u help mam

Answer 7

reference for the definition of a minimal set:
http://ndp.jct.ac.il/tutorials/discrete/node34.html

Answer 8

I think minimal element is such that it cannot be the result of the relation .
So out of {5,10,15,20....}, we cannot get 5 or 10 by the operation.

Answer 9

this is obvious and already written in my question,i have not asked this... i think u must read my question again, don't repeat question sentences in answer again

Answer 10

No i think you should read the reply again.

Answer 11

she is saying the answer is \(\{15,20,25,30,35,40\}\)

Answer 12

i think

Answer 13

I was doing the 2nd one first since it was easier :/ sorry about that! The second one should be 5 and 10 no operation goes into those numbers

Answer 14

@meneedy Do u understand?

Answer 15

{15,20,25,30,35,40} is is my answer

Answer 16

No .-.

Answer 17

then?

Answer 18

\(\color{#0cbb34}{\text{Originally Posted by}}\) @pooja195
I think minimal element is such that it cannot be the result of the relation .
So out of {5,10,15,20....}, we cannot get 5 or 10 by the operation.
\(\color{#0cbb34}{\text{End of Quote}}\)
Therefore 5 and 10 would be the answers

Answer 19

ohh,

Answer 20

5,10

Answer 21

Rember that minimal elements cannot be obtained as a result of the relation.

Answer 22

yes, i understand it,

Answer 23

cool

Answer 24

Good :)

Answer 25

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Answer 26

Can you help me 2 more questions?

Answer 27

You'll need to re-post them again

Answer 28

okay