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# Let the universal set : U = { 1 , 2 , 3 , . . . , 10 } .Let A = { 1 , 4 , 7 , 10 }, B = { 1 , 2 , 3 , 4 , 5 }, and C = { 2 , 4 , 6 , 8 }. ?

Let the universal set : U = { 1 , 2 , 3 , . . . , 10 } .Let A = { 1 , 4 , 7 , 10 }, B = { 1 , 2 , 3 , 4 , 5 }, and C = { 2 , 4 , 6 , 8 }. List the elements of each set.

1. U ′

2. B ∩ ∅

3/ B ∩ U

4. B ′ ∩ ( C − A )

5. A'∩ B' U C

### 1 Answer

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- 戇戇居士Lv 72 months agoFavorite Answer
1.

U'

= U - U

= ∅

2.

B ⋂ ∅

= B

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

3.

B ⋂ U

= B

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

4.

B' ⋂ (C - A)

= (U - B) ⋂ (C - A)

= ({1, 2, 3, ……, 10} - {1, 2, 3, 4, 5}) ⋂ ({2, 4, 6, 8} - {1, 4, 7, 10})

= {6, 7, 8, 9, 10} ⋂ {2, 6, 8}

= {6, 8}

5.

A' ⋂ B' ⋃ C

= (U - A) ⋂ {U - B} ⋃ C

= ({1, 2, 3, ……, 10} - {1, 4, 7, 10}) ⋂ ({1, 2, 3, ……, 10} - {1, 2, 3, 4, 5}) ⋃ {2, 4, 6, 8}

= {1, 2, 3, 5, 6, 8, 9} ⋂ {6, 7, 8, 9, 10} ⋃ {2, 4, 6, 8}

= {6, 8, 9} ⋃ {2, 4, 6, 8}

= {2, 4, 6, 8, 9}

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