Is the element the number of numbers in a set?
no, it is a member of the set
the order is the number of elements
For example, the sets:
A={2,4,6,8} B= {6,7,8,9,10}
when a question asks for the elements in B and the answer is n (B)=3 (that is the answer that my professor gave me) can I think of it as the numbers that are only found in set B? (7,9,10)
In set A and set B, the numbers 6 and 8 are both present.
No, the element of a set refers to each individual item or value within the set. In mathematics, a set is a collection of distinct objects, and the elements of the set are the objects themselves.
To determine the number of elements in a set, you count how many different objects are present within that set. This can be done by counting each distinct item in the set and removing duplicates.
For example, consider the set {1, 2, 3, 3, 4}. The elements of this set are 1, 2, 3, and 4. Notice that although the number 3 appears twice, it is still considered as only one element in the set. So, the number of elements in this set is 4.
If you want to find the number of elements in a set, simply count the unique items within it, disregarding any duplicates.