SOLUTION: Question: If the universal set is U = { 1, 2, …, 9, 10 } and A = { 1, 4, 7, 10 } and B = { 1, 2, 3, 4, 5 } and C= { 2, 4, 6, 8 } then which of the following represents the set B &#

Algebra ->  Probability-and-statistics -> SOLUTION: Question: If the universal set is U = { 1, 2, …, 9, 10 } and A = { 1, 4, 7, 10 } and B = { 1, 2, 3, 4, 5 } and C= { 2, 4, 6, 8 } then which of the following represents the set B &#      Log On


   



Question 942091: Question: If the universal set is U = { 1, 2, …, 9, 10 } and A = { 1, 4, 7, 10 } and B = { 1, 2, 3, 4, 5 } and C= { 2, 4, 6, 8 } then which of the following represents the set B ∩ (A \ C)?

A { 2, 6, 8 }

B { 1, 4, 6, 8, 9 }

C { 7, 10 }

D { 3, 4, 5, 8 }

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To find "A \ C" you start with set A and kick out numbers that are in set C.

So we start with A = { 1, 4, 7, 10 } and kick out 4 since 4 is in C

So

A \ C = { 1, 7, 10 }


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B ∩ (A \ C) turns into { 1, 2, 3, 4, 5 } ∩ { 1, 7, 10 }

Only the number "1" is in both sets, so { 1, 2, 3, 4, 5 } ∩ { 1, 7, 10 } = { 1 }

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Answer:

B ∩ (A \ C) = { 1 }

There seems to be a typo somewhere in your answer choices or in the original question.