If set A = {3, 4, 7, 9}, set B = {8, 9, 10, 11}, and set C = {4, 9, 11, 13, 15}, then A∩(B∪C) =

Question

mikewwe13 · Answer

First, we need to find the union of sets B and C, which is the set of all elements that are in either B or C or both.

B ∪ C = {4, 8, 9, 10, 11, 13, 15}

Next, we need to find the intersection of set A and the union of sets B and C, which is the set of all elements that are in both A and (B ∪ C).

A ∩ (B ∪ C) = {9}

Therefore, A ∩ (B ∪ C) = {9}.

ElexusQuimby · Answer

@mikewwe13 wrote:

First, we need to find the union of sets B and C, which is the set of all elements that are in either B or C or both. B ∪ C = {4, 8, 9, 10, 11, 13, 15} Next, we need to find the intersection of set A and the union of sets B and C, which is the set of all elements that are in both A and (B ∪ C). A ∩ (B ∪ C) = {9} Therefore, A ∩ (B ∪ C) = {9}.

I don't have the just nine option. I have options like {4,9} {3, 4, 7, 9, 11} {}

mikewwe13 · Answer

Hmph okay.

I apologize for the confusion. Let's break down the problem to find the answer:

A ∩ (B ∪ C) means the intersection of set A with the union of sets B and C.

B ∪ C is the set of all elements that are in either B or C or both.

B ∪ C = {4, 8, 9, 10, 11, 13, 15}

Now, we need to find the intersection of set A with the set {4, 8, 9, 10, 11, 13, 15}.

A ∩ (B ∪ C) = {9} since 9 is the only element that is in both set A and the set (B ∪ C).

Therefore, the answer is {9}.

ElexusQuimby · Answer

Okay.  Thank you.  So I am going to choose option A. the {4,9}

mikewwe13 · Answer

You’re welcome I'm sorry, but {4,9} is not the correct answer. The correct answer is {9}. Unless it’s together, okay choose that

ElexusQuimby · Answer

So choose the last option the one that says {}?

mikewwe13 · Answer

No, the correct answer is not the option that says {}. The correct answer is {9}.

ElexusQuimby · Answer

There is no Nine

ElexusQuimby · Answer

attachment

mikewwe13 · Answer

In that case, the closest answer option is {3, 4, 7, 9, 11}, since it contains the elements 4 and 9, which are both in the sets A and C respectively, and also contains the elements 3, 7, and 11 which are in either set A, B, or C.

However, it's important to note that {3, 4, 7, 9, 11} is not the exact answer to the problem, since it includes elements that are not in the intersection A ∩ (B ∪ C). The only element in the intersection is 9, which means that {9} is the correct answer.

mikewwe13 · Answer

Let me know what you have

ElexusQuimby · Answer

I did the last answer. But i don't know what it could be I got that question wrong so idk.

mikewwe13 · Answer

The very last one or mine

ElexusQuimby · Answer

the very last one.  Your answer wasnt there.

mikewwe13 · Answer

Oh ok

ElexusQuimby · Answer

i kept saying it.

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