SOLUTION: Are the two sets equal, equivalent, neither or both? Explain your answer. V = {cat, dog, bird}; W = {bird, dog, cat, mouse}

Question 476771: Are the two sets equal, equivalent, neither or both? Explain your answer.
V = {cat, dog, bird}; W = {bird, dog, cat, mouse}
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
V = {cat, dog, bird}
W = {cat, dog, bird, mouse}
V is a subset of W because every element in V is also in W.
In fact V is a proper subset of W because every element in V is also in W and W contains other elements that are not in V.;
if W only contained {cat,dog,bird}, then:
V would be a subset of W and W would be a subset of V and both sets would be equivalent because they contained the same members.
V would not, however, be a proper subset of W.
Likewise W would not, however, be a proper subset of V.
in order for set V to be a proper subset of set W, set W would need to contain elements that are not in V.
Since it does, V is a proper subset of W.
Since V is a proper subset of W, this means that W is a proper superset of V.
If V is a subset of W, then W is a superset of V.
If W is a superset of V, then V is a subset of W.
your question asked if the sets are equal, equivalent, neither or both.
they are neither.
they are not equal and they are not equivalent.

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