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#1 2024-09-08 02:38:06

harpazo65
Member
From: Brooklyn, NY
Registered: 2024-09-07
Posts: 52

Find (B U C)^c

Let (B U C)^c = the complement of B union C.

U = {0, 1, 2, 3, 4, 5}

B = {2, 3, 4}

C = {1, 3, 4, 6}

B U C = {2, 3, 4} U {1, 3, 4, 6}

B U C = {1, 2, 3, 4, 6}

(B U C)^c = {0, 5}

I believe this to be right.


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#2 2024-09-08 04:48:35

Bob
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Registered: 2010-06-20
Posts: 10,546

Re: Find (B U C)^c

Again we have a rogue 6 in C.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
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#3 2024-09-08 08:36:39

harpazo65
Member
From: Brooklyn, NY
Registered: 2024-09-07
Posts: 52

Re: Find (B U C)^c

Bob wrote:

Again we have a rogue 6 in C.

Bob

Ok. I better pay close attention when typing my elements into the sets.
What do you mean by "rogue 6"?


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#4 2024-09-08 23:56:13

Bob
Administrator
Registered: 2010-06-20
Posts: 10,546

Re: Find (B U C)^c

Dictionary.com defines rogue as "no longer obedient, belonging, or accepted ". 6 doesn't obey the rules as it's not in the universe.

Let's get more practice by making C = {1, 3, 4, 5}

That does change your previous answer.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#5 2024-09-09 02:20:50

harpazo65
Member
From: Brooklyn, NY
Registered: 2024-09-07
Posts: 52

Re: Find (B U C)^c

Bob wrote:

Dictionary.com defines rogue as "no longer obedient, belonging, or accepted ". 6 doesn't obey the rules as it's not in the universe.

Let's get more practice by making C = {1, 3, 4, 5}

That does change your previous answer.

Bob

It changes my previous answer because 3, 4, and 5 are in the universal set U.


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