Find B^c ∩ C^c

harpazo65 · 2024-09-08 02:32:43

Given U = {0, 1, 2, 3, 4, 5}, B = {2, 3, 4}, and C = {1, 3, 4, 6}, find
B^c ∩ C^c.

B^c = {0, 1, 5}

C^c = {0, 2, 5}

B^c ∩ C^c = {0, 1, 5} ∩ {0, 2, 5}

B^c ∩ C^c = {0, 5}

I believe this to be true.

Bob · 2024-09-08 04:45:41

Yes, that's ok. But you have typed

C = {1, 3, 4, 6}

That 6 cannot be an element as it's not in the universe. Fortunately it doesn't effect your answer.

Bob

harpazo65 · 2024-09-08 08:35:24

Bob wrote:

Yes, that's ok. But you have typed
C = {1, 3, 4, 6}
That 6 cannot be an element as it's not in the universe. Fortunately it doesn't effect your answer.
Bob

Really? Why does 6 not effect my answer? That's a bit weird.

Bob · 2024-09-08 23:52:08

As C complement is the elements not in C 6 doesn't feature whether it's there or not. But If you change 6 to 0 for example it would change the answer.

Bob

harpazo65 · 2024-09-09 02:18:20

Bob wrote:

As C complement is the elements not in C 6 doesn't feature whether it's there or not. But If you change 6 to 0 for example it would change the answer.
Bob

I did not know this fact.

Math Is Fun Forum

#1 2024-09-08 02:32:43

Find B^c ∩ C^c

#2 2024-09-08 04:45:41

Re: Find B^c ∩ C^c

#3 2024-09-08 08:35:24

Re: Find B^c ∩ C^c

#4 2024-09-08 23:52:08

Re: Find B^c ∩ C^c

#5 2024-09-09 02:18:20

Re: Find B^c ∩ C^c

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