Answer:
The set {d,o,g}: {c,a,t} is equivalent but not equal.
The set {run} : {r,u,n} is neither equivalent nor equal.
The set {t,o,p} :{p,o,t} is equal.
Explanation:
Consider the provided sets.
Two sets are equal if they have the exact same elements.
Two sets are equivalent if they have the same number of elements.
Now consider the provided sets:
{d,o,g}: {c,a,t}
The number of elements in set {d,o,g} is 3.
The number of elements in set {c,a,t} is 3.
Thus, the sets are equivalent, but they have different elements, so the sets are not equal.
{run} : {r,u,n}
The number of elements in set {run} is 1.
The number of elements in set {r,u,n} is 3.
Thus, the sets are not equivalent, also they have different elements, so the sets are not equal.
{t,o,p} :{p,o,t}
The number of elements in set {t,o,p} is 3.
The number of elements in set {p,o,t} is 3.
Also they have same elements i.e (o, p and t),
Hence, the sets are equal.