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

Algebra ->  sets and operations -> 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      Log On


   

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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
They are both equal and equivalent.
Rearranging the elements in a different order between the braces does not change the set.

by definition:
Two sets are equivalent if their cardinality is equal.
The cardinality of a set is the number of elements in the set.
The cardinality of V is 5 and the
The cardinality of W is 5. So the sets are equivalent.
Two sets are equal if the two sets consist of the exact same elements.
Set W and set V have the same elements.