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

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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

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http://www.awesomescreenshot.com/image/454102/5c442f15a749a336294b889e959b94fb
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 \(5R15\)
check my screen shoot,and let me know correct answer only

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refresh my memory what does "minimum elements" of a relation mean?
I don't know i am stuck with this queston, I don't know
so can u help mam
reference for the definition of a minimal set: http://ndp.jct.ac.il/tutorials/discrete/node34.html
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.
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
No i think you should read the reply again.
she is saying the answer is \(\{15,20,25,30,35,40\}\)
i think
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
@meneedy Do u understand?
{15,20,25,30,35,40} is is my answer
No .-.
then?
\(\color{#0cbb34}{\text{Originally Posted by}}\) @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
ohh,
5,10
Rember that minimal elements cannot be obtained as a result of the relation.
yes, i understand it,
cool
Good :)
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Can you help me 2 more questions?
You'll need to re-post them again
okay

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