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If S={1,2,3,4,8,16,32} be the universal ...

If `S={1,2,3,4,8,16,32}` be the universal set and `A={1,2,8,32}, B={4,8,32}` be two of its subsets, verify that,
`(A^c)^c=A`

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CHHAYA PUBLICATION-SET THEORY -Short answer type questions
  1. If A={1,2,3,4}, B={2,3,4,5},C={1,3,4,5,6,7}. Find A-B

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  2. If A={1,2,3,4}, B={2,3,4,5},C={1,3,4,5,6,7}. Find A-C and hence veri...

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  3. If S={1,2,3,4,8,16,32} be the universal set and A={1,2,8,32}, B={4,8,3...

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  4. If S={1,2,3,4,8,16,32} be the universal set and A={1,2,8,32}, B={4,8,3...

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  5. If S={1,2,3,4,8,16,32} be the universal set and A={1,2,8,32}, B={4,8,3...

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  6. If P={a,b,c,d,e,f} and Q={a,c,e,f}," prove that "(P-Q) cup(PcapQ)=P

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  7. If P={theta:sintheta-costheta=sqrt2costheta} and Q={theta: sintheta+...

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  8. Given A={1,2,3,4,5} and Bcup C = {3,4,6}, find (A capB)cup(AcapC)

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  9. Given A={1,2,3,4,5} and Bcup C = {3,4,6}, find (A-B) cap(A-C)

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  10. Define three sets P,Q and R such that PcapQnephi,QcapR ne phi, R capP ...

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  11. Let A,B and C be three sets. If A in B and B subC, is it true that A s...

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  12. Let S={a,b,c,d,e} be the universal set and let A={a,b,d}and B={b,d,e} ...

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  13. Let S={1,2,3,4,5,6} be the universal set. Let A cupB={2,3,4}, find A^c...

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  14. If aNN={ax:x inNN}, describe 3NN cap7 NN where NN is the set of natura...

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  15. Let A,B and C be three sets. Show by means of examples that each of th...

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  16. Let A,B and C be three sets. Show by means of examples that each of th...

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  17. Let A,B and C be three sets. Show by means of examples that each of th...

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  18. For any two sets A and B, prove the following : (B-A) capA=phi

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  19. For any two sets A and B, prove the following : A^c-B^c=B-A

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  20. For any two sets A and B, prove the following : A-B=A-(AcapB)

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