SOLUTION: The problem says this: Are the two sets equal, equivalent, neither or both? V = {eye, nose, ear, mouth, tongue}; W = {tongue, ear, mouth, eye, nose} Will someone help me wit

Question 482196: The problem says this:
Are the two sets equal, equivalent, neither or both?
V = {eye, nose, ear, mouth, tongue}; W = {tongue, ear, mouth, eye, nose}
Will someone help me with this? Also, to get a better understanding of this, would you mind explaining your answer? Thank you so much!

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Are the two sets equal, equivalent, neither or both?
V = {eye, nose, ear, mouth, tongue}; W = {tongue, ear, mouth, eye, nose}
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V and W are equal.
They have the same elements: no more and no less.
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Equivalent sets have the same number of elements
but not the same elements.
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Cheers,
Stan H.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
They are and .
Rearranging the elements in a different order between the braces does not change the set.

by definition:
Two sets are if their is .
The cardinality of a set is the number of elements in the set.
The cardinality of V is and the
The cardinality of W is . So the sets are .
Two sets are if the two sets consist of the .
Set and set the same elements.

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