Q:

State whether each pair of sets is equal, equivalent, or neither.{d,o,g}: {c,a,t}{run} : {{r,u,n}{t,o,p} :{p,o,t}

Accepted Solution

A:
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.Step-by-step 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.