Empty set question?

Question

What happens when you have this?

A empty set with a union of (4, 5, 6)

So, it looks like: (empty set) U (4, 5, 6)

Is this answer to this an empty set or nothing? or something else

Answer 1

The union of the Empty Set and A is just set A, since the union takes elements from either of the sets.

The intersection of the Empty Set and A is the Empty Set, since the intersection requires the element to be in both sets.

Answer 2

sets are bags filled with marbles
if you perform the union of two or more bags, you have to get a new bag, you call it "the union" and you put all the marbles of the other bags into it, this new bag filled with all the marbles is the union
you can do the union of two bags: a bag that has 4, 5, 6 and another that's empty (that's the empty set), so you would put into a new bag called "the union" the "marbles" 4,5 and 6 from one of the bags and you would also put nothing from the other previous bag (since it's empty) so in the new bag you would have the same thing you had in the (4,5,6) bag. and two bags (sets) are the same if they have the same, so the set (4,5,6) and the set formed by the union of (4,5,6) with the empty set, are the same set

Answer 3

U is like saying "all things in both sets"
whats in set A or set B.

Since the empty set is a subset of every set then the union should be (0,4,5,6) but you don't have to state the "0" since its really in every set.

Ans: (4,5,6)

Answer 4

Union is similar to adding or combining or joining two sets.
Empty set has no members, so joining it to another set just gives you that set, empty set U (4,5,6) = ( 4,5,6)

Answer 5

You denote an empty set like this: {} or like this: ? a set of empty contraptions is {?} ==== I completely admit that I dont understand plenty approximately set thought... yet i understand that Im stunning approximately each little thing I easily have suggested right here. So notwithstanding assswipe downed thumbed me, be at liberty to publicly admit it. And be at liberty to describe why. Else youre purely a coward and a moron.

Answer 6

A union B is the set of elements contained in EITHER A or B.

Therefore, for any set S

emptyset union S = S, since every element in S is either in S or in the emptyset. :)

Similarly,

A intersect B is the set of elements in BOTH A and B. Since emptyset is by definition empty, for any set S,

S intersect emptyset = emptyset, since there are no elements in both S and in the emptyset.

Rob

Answer 7

when you and nothing to (4,5,6) you have as the union, (4,5,6)

In other words union is all of both sets.

Nothing + (4,5,6) = (4,5,6)

Answer 8

It is (4,5,6).