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#1 2024-09-07 12:56:22

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

Find B ∩ (A U C)

Note:

B ∩ (A U C) means set B intersected with set A union with set C.

Set A = {0, 1, 2, 3, 4, 5}

Set B = {6, 7, 8, 9, 10}

Set C = {2, 4, 6, 8, 10}


Find B ∩ (A U C).

I should find A U C first.

A U C = {0, 1, 2, 3, 4, 5} U {2, 4, 6, 8, 10}

A U C = {2, 4}

B ∩ (A U C) = {6, 7, 8, 9, 10} ∩ {2, 4}


B ∩ (A U C) = null set or empty set

I think this is correct.


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#2 2024-09-07 19:15:07

Bob
Administrator
Registered: 2010-06-20
Posts: 10,627

Re: Find B ∩ (A U C)

I should find A U C first.

A U C = {0, 1, 2, 3, 4, 5} U {2, 4, 6, 8, 10}

A U C = {2, 4}

Yes you should but the union is {0,1,2,3,4,5,6,8,10}

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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#3 2024-09-08 00:18:33

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

Re: Find B ∩ (A U C)

Bob wrote:

I should find A U C first.

A U C = {0, 1, 2, 3, 4, 5} U {2, 4, 6, 8, 10}

A U C = {2, 4}

Yes you should but the union is {0,1,2,3,4,5,6,8,10}

Bob

Yes, my bad. A U C means set A union or united with set C. All the elements of set A united with all the elements of set C.

I then need to find find B intersected with A U C.


B ∩ (A U C) = {6, 7, 8, 9, 10}  ∩ {0, 1, 2, 3, 4, 5, 6, 8, 10}

B ∩ (A U C) = {6, 8, 10}

I hope this is correct now.


Focus on the journey for there will be those who would love to see you fall.

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#4 2024-09-08 04:34:46

Bob
Administrator
Registered: 2010-06-20
Posts: 10,627

Re: Find B ∩ (A U C)

Yes, that's got it!

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 2024-09-08 08:30:44

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

Re: Find B ∩ (A U C)

Bob wrote:

Yes, that's got it!

Bob

Great news! I do my best to show math work.


Focus on the journey for there will be those who would love to see you fall.

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