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Question

Given U={x:xN,x9}, A={x:x is divisible by 2} and B ={x:x3N}, then (A B) - (A B) = ___.


A

{2, 3, 4, 6, 8, 9}

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B

{2, 3, 4, 8, 9}

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C

{C}

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D

{2, 4, 6, 8}

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Solution

The correct option is B

{2, 3, 4, 8, 9}


U={x:xN,x9}

U={1,2,3,4,5,6,7,8,9}

A={x:xisdivisibleby2}

A={2,4,6,8}

B={x:x3N}

B={3,6,9}

A B is the set of elements belonging to A or B

AB={2,3,4,6,8,9}

A B is the set of elements belonging to A and B

AB={6}

(AB)(AB) is the set of elements belonging to only (A B)

(AB)(AB)={2,3,4,6,8,9}{6}

= {2, 3, 4, 8, 9}

Hence (B)


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