Determine whether the pairs of sets are equal, equivalent, both, or neither.
A = {7, 9, 10}, B = {a, b, c}
State whether the given pair of sets are equal, equivalent, both, or neither. {0, 3}; {8, 1
To determine whether the pairs of sets A and B are equal, equivalent, both, or neither, we need to compare the elements of each set.
In this case, set A contains the elements {7, 9, 10} and set B contains the elements {a, b, c}. The key here is that the elements in sets A and B are different.
1. Equal Sets:
Two sets are considered equal if they have exactly the same elements. Since the elements in sets A and B are different, they are not equal.
2. Equivalent Sets:
Two sets are considered equivalent if they have the same number of elements. In this case, both sets A and B have three elements, so they are equivalent.
3. Both Equal and Equivalent Sets:
Since the elements in sets A and B are different, they are not equal. However, they are equivalent because both sets have the same number of elements.
4. Neither Equal nor Equivalent Sets:
This category is when sets are neither equal nor equivalent. Since sets A and B are equivalent in this case, they do not fall under this category.
To summarize, the pairs of sets A = {7, 9, 10} and B = {a, b, c} are equivalent but not equal.