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Suppose $A$ and $B$ are nonempty sets. Can $A imes B$ ever be a function $A ightarrow B ?$ Explain....

Question

Suppose $A$ and $B$ are nonempty sets. Can $A imes B$ ever be a function $A ightarrow B ?$ Explain.

Suppose $A$ and $B$ are nonempty sets. Can $A imes B$ ever be a function $A ightarrow B ?$ Explain.



Answers

Is it possible for two nonempty sets to have the same intersection and union? If so, give an example.

Theme This trouble were testifying to sense a beats. I sent a dozen of them. It'll be a also he's a subset of Hey, so what's in it? Said a U. N. T said, Or now let's take our said be a CZ Uh, the end is act and element. Let's say to This is an archer element. So now what's he knows that we know that a. So this is an element off. Given, such and sent A is also a subset. They give it right, so there is an element of the A subsidy.

Knowing that and be my two cents of peace and power sets can be concluded. A and B are pretty much basically the same sex. This is the question. Well, the short answer is yes. And let's explain this burger Yes, before we said office sex. So if Santa Fe is said, um, old substance, that said a generates. And if you know that, said a then said Be generates the exact same Barber says that we can say that Yes, A and the R. ICO, because all the possible combinations that A and B generators are people.

Let's assume that we have two sets and we set A has elements. A so a another little and and B is an element of said. So the product off these two cents and me for be a fairy so we know that they can be is an earpiece in Sir, this isn't easy said This thing is that Peter A is not an element of seven A or B is not an element of that. Be so this is was that Peter A is an empty set or he's in.

In this problem for us to show that made it will be different. See physical, a different see difference be different seats. So I did proceed Difference be different seas of lessons. I will have element, I said, actually, an elemental a prissy and it's left me an element of be difference. See, So we can write. This one is actually an element of A and X is not an element of C friends. It's not an elemental thanks May It's not an ally to be. And it's not a moment off. See, um So, Nadia, in time here in time here and I am not in the line here, So let's just distribute those into the fantasy so we can write this on this X, um an elemental A. And it is not an element of C. And, um thanks is not an element of the or eggs is an element of sea. So we have end here and negative, um, a pregnant here, Right? So I wonder what this up writer Excellent. The Ensign Megan Or and we have nothing element here and nothing element here, So that softy got X element of seat. So let's break this oneness exist until a little, eh? And, um, not an element O c. And not an elemental be or that's an element of C and X is another little C. So we have not annulment of see here every event element of cnd have Anna Prager acting you. Dustin Wright said this part is a bull's statement. So we can just this regard this for Okay, so we're only interested in the first part right now. This is the part that is true. So be here. Eggs isn't alone. Top end. It's another element of sea and makes another element be so we can write this one as X is now a little friends that in El aumento b and, uh, nothing element. See, sir, this is basically, um, same thing as saying a defense. Be difference. See, So we have from this part it's an elemental a visit. PNC here and not annulment would be so that it's a defense, Pete. And this is not an element of seats. So that is these different. See


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