Set Operations...4

[mathdad]

Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, }

Set A = {1, 3, 4, 5, 9 }

Set B = {2, 4, 6, 7, 8 }

Set C = {1, 3, 4, 6 }

Find the set.

 

[khansaheb]

Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, }

Set A = {1, 3, 4, 5, 9 }

Set B = {2, 4, 6, 7, 8 }

Set C = {1, 3, 4, 6 }

Find the set.

Again same question - What does the set mean?

 

[mathdad]

Again same question - What does the set mean?

The set means to find the complement of set B Union set C.

 

[blamocur]

Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, }

Set A = {1, 3, 4, 5, 9 }

Set B = {2, 4, 6, 7, 8 }

Set C = {1, 3, 4, 6 }

Find the set.

I don't agree with your answer. Before finding [imath]\overline{B\cup C}[/imath] figure out [imath]B\cup C[/imath] first.

 

[Dr.Peterson]

Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, }

Set A = {1, 3, 4, 5, 9 }

Set B = {2, 4, 6, 7, 8 }

Set C = {1, 3, 4, 6 }

Find the set.

You appear to be confusing [imath]\overline{B\cup C}[/imath] with [imath]\overline{B}\cup\overline{C}[/imath]:

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You found the latter; they asked for the former. Do you see the difference?

 

[mathdad]

You appear to be confusing [imath]\overline{B\cup C}[/imath] with [imath]\overline{B}\cup\overline{C}[/imath]:

View attachment 38536​

You found the latter; they asked for the former. Do you see the difference?

Let me see if I understand bar over B U C.
It means to find the complement of A U C.

 

[mathdad]

I don't agree with your answer. Before finding [imath]\overline{B\cup C}[/imath] figure out [imath]B\cup C[/imath] first.

In that case, what is your approach?

 

[Dr.Peterson]

Let me see if I understand bar over B U C.
It means to find the complement of A U C.

I sure hope you meant "the complement of B U C"! If so, yes, that's what it means.

In that case, what is your approach?

Do what it says: find B U C, and then find the complement of that. Why do you need to ask?

 

[mathdad]

I sure hope you meant "the complement of B U C"! If so, yes, that's what it means.

Do what it says: find B U C, and then find the complement of that. Why do you need to ask?

Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, }

Set B = {2, 4, 6, 7, 8 }

Set C = {1, 3, 4, 6 }

Find the complement of B U C.

B U C = {2, 4, 6, 7, 8} U {1, 3, 4, 6}

B U C = {1, 2, 3, 4, 6, 7, 8}

Let bar B U C = complement of B U C.

bar B U C = {0, 5, 9}

 

[blamocur]

Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, }

Set A = {1, 3, 4, 5, 9 }

Set B = {2, 4, 6, 7, 8 }

Set C = {1, 3, 4, 6 }

Find the complement of A U C.

A U C = {1, 3, 4, 5, 9} U {1, 3, 4, 6}

A U C = {1, 3, 4, 5, 6, 9}

Let bar A U C = complement of A U C.

bar A U C = {0, 2, 7, 8}

In the original post you were trying to find the complement of [imath]\mathbf B \cup C[/imath] -- why are you switching it now?

 

[mathdad]

In the original post you were trying to find the complement of [imath]\mathbf B \cup C[/imath] -- why are you switching it now?

Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, }

Set B = {2, 4, 6, 7, 8 }

Set C = {1, 3, 4, 6 }

Find the complement of B U C.

B U C = {2, 4, 6, 7, 8} U {1, 3, 4, 6}

B U C = {1, 2, 3, 4, 6, 7, 8}

Let bar B U C = complement of B U C.

bar B U C = {0, 5, 9}

 

[blamocur]

Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, }

Set B = {2, 4, 6, 7, 8 }

Set C = {1, 3, 4, 6 }

Find the complement of B U C.

B U C = {2, 4, 6, 7, 8} U {1, 3, 4, 6}

B U C = {1, 2, 3, 4, 6, 7, 8}

Let bar B U C = complement of B U C.

bar B U C = {0, 5, 9}

Much better