if A, B and C are sets and * stands for ...

if A, B and C are sets and * stands for complementation then `{[AcapB)cupC}**=`

A

`A** ∩ (B** ∪ C**)`

B

`A** ∩ (B ∪ C)**`

C

`(A** ∩ C**) ∪ (B** ∩ C**)`

D

`(A** ∩ B**) ∪ (A** ∩ C**) `

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If A , B and C are any three sets , then prove that : Acap(B-C)=(AcapB)-(AcapC) (ii) Acap(BDeltaC)=(AcapB)Delta(AcapC) .

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Knowledge Check

If X and / are two sets and X denotes the complement of X, then Xnn(XuuY) equals :

A

X

B

Y

C

`phi`

D

none

If 'A' stands 'addition', B stands for 'division', C stands for 'subtraction' and D stands for 'multiplication, then what is the value of the following equation? 4 D (3 A 1) C 5 A (6 B 2) C 7

A

17

B

5

C

7

D

12

If 'A' stands 'addition', B stands for 'division', C stands for 'subtraction' and D stands for 'multiplication, then what is the value of the following equation? If 'A' stands 'addition', B stands for 'division', C stands for 'subtraction' and D stands for 'multiplication, then what is the value of the following equation?

A

104

B

105

C

106

D

107

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