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If A,B,C are three non empty sets such t...

If A,B,C are three non empty sets such that `A cupB=A cup C` and `Acap B=A cap C` then prove that B=C

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PATHFINDER-SETS AND RELATIONS-QUESTION BANK
  1. Find the domain and range of the relation R={(a,b):a+b=10,a,b in N}

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  2. IfA={x:0lt xlt4} and B={x:3lexlt6} where x is an integer then show tha...

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  3. If A,B,C are three non empty sets such that A cupB=A cup C and Acap B=...

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  4. If A={1,2,3} ,B={3,4} and C={1,3,5} find Axx(BcupC)

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  5. If A and B be any two subsets of the set S then show that (AxxB) cap (...

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  6. If f:R rarr R be defined by f(x)=x^2+3 where R is the set of real numb...

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  7. Twos ets A and B are such that n(A)=3 nad n(B)=6 find the least value ...

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  8. A survey is taken of 100 boys in a village it is found that 35 boys us...

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  9. A survey is taken of 100 boys in a village it is found that 35 boys us...

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  10. Out of 70 members of a family 37 drink coffee and 52 drink tea how man...

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  11. A class has 175 students following is the description showing the numb...

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  12. Of the members of three athletic teams in a certain school 21 are on t...

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  13. If A is not a null set and AxB=AxC then prove that B=C

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  14. If R be the relation on the set A of first twelve natural numbers defi...

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  15. Find the range and domain of the relation R defined R={(2x-5,x-3):x) i...

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  16. If n(S) =700 ,n(A)=200,n(B)=300 ,n(A cap B)=100 then find the value of...

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  17. A survey of americans show that 63% of them like cheese and 76% of the...

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  18. If f:[1,infty)rarr[2,infty) is defined as f(x)=x+(1/x) then find f^(-1...

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  19. For three sets A,B,C prove that A-(B cup C)=(A-B) cap (A-C)

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  20. If U={1,2,4,6, 8,16,32} A={2,6,32} and B={1,4,8,16} then verify that ...

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