The question is...
Name the identity element for union.
I really have no idea...thank you for any help!!!
And, I can't seem to find the LCM of 558 and 264. :) thank you, once again.
sjd,cjm
eh i think i knows you
uh your last name is either coulome, coco, or rost
uh yeah k cya
i got 24,552
just who are you?
i know you go to my classes and school. xD oh and it would be {} (empty set)
To find the identity element for union, we need to understand what a union operation does.
The union of sets A and B, denoted by A ∪ B, is the set that contains all the elements that are in A, in B, or in both A and B.
Now, let's think about what the identity element means. An identity element is an element that, when combined with any other element using a specific operation, does not change that element.
In the case of the union operation, the identity element is the set that, when combined with any other set using the union operation, does not change that set.
To find the identity element for the union operation, we need to find a set that, when unioned with any other set, does not change the other set.
Let's try using an example. We'll consider the set of all integers, denoted by ℤ, as the universal set.
If we choose the empty set, denoted by ∅, as the identity element, we can see that for any set A, A ∪ ∅ = A. The empty set does not add any new elements to A when unioned with it, so it satisfies the definition of an identity element.
Therefore, the identity element for the union operation is the empty set (∅).
So, the answer to your question is: The identity element for union is the empty set (∅).