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Consider the following relations : 1. ...

Consider the following relations :
1. `A-B=A -(Ann B)`
2. `A = (A nnB) uu (A-B)`
3.`A -(B uu C) =A (A-C) uu (A-C)`
which of these is/are correct

A

I and III

B

I and II

C

Only II

D

II and III

Text Solution

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The correct Answer is:
B
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Which of the following are corect: 1. A-B=A - (Ann B) 2. A = (A nnB) uu (A-B) 3. A - (B uu C) =(A-B) uu (A-C)

A = (A nn B) uu (AB) and A uu (BA) = (A uu B)

A - (B uu C) equals :

A uu B = (AB) uu (BA) uu (A nn B)

Consider the following for any three non-empty sets, A, B and C. 1. A-(BuuC)=(A-B)uu(A-C) 2. A-B=A-(AnnB) 3.A=(AnnB)uu(A-B) Which of the above is/are correct ?

(A uu B) nn (A uu B ^ (c)) = A

A-(B uu C) equals

DISHA PUBLICATION-SETS-EXERCISE-1 : CONCEPT BUILDER
  1. If A={1,2,3,4},B={2,3,5,6}andC={3,4,6,7}, then

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  2. If the set A and B are as follows : A={1,2,3,4},B={3,4,5,6}, then

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  3. Consider the following relations : 1. A-B=A -(Ann B) 2. A = (A nnB...

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  4. If A={x inR:0ltxlt3}andB={x inR:1lexle5} then ADeltaB is

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  5. Let X and Y be two non-empty sets such that XnnA=YnnA=phiandXuuA=YuuA ...

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  6. The set (A//B)uu(B//A) is equal to

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  7. if A ={x:x is a multiple of 3 } and , B={x:x is a multiple of 5 }...

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  8. If A and B are two sets prove that Ann(B-A)=phi

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  9. Each student in a class of 40, studies at least one of the subjects En...

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  10. If A and B are two sets, then (AuuB)'uu(A'nnb) is equal to

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  11. If A={1,2,5} and B={3,4,5,9}, then ADeltaB is equal to

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  12. Let X = {Rani, Geeta, Akbar} be the set of students of Class XI who a...

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  13. Let A={3,6,9,12,15,18,21} B={4,8,12,16,20} C={2,4,6,8,10,12,14,16}...

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  14. Out of 800 boys in a school, 224 played cricket, 240 played hockey and...

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  15. Let A={(n,2n):ninN} and B={(2n,3n):ninN}. What is AnnB equal to ?

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  16. If A is the set of all divisors of the number 15. B is the set of prim...

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  17. let mu= the set of all triangles, P = the set of all isosceles triangl...

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  18. If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,5}, B = 2,4,6,7} and C = {2,...

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  19. if a N={a x:x iin N} and b N cap c N , where b,c in Nare relative...

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  20. Let n(U)=700, n(A)=200,n(B)=300 and n(AnnB)=100, then find n(A'nnB')

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