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For any set A,B prove that A cap (B-A)=p...

For any set A,B prove that `A cap (B-A)=phi`

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For any three sets A,B,C prove that Acap(B-C)=(AcapB)-(AcapC)

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PATHFINDER-SETS AND RELATIONS-QUESTION BANK
  1. If f(x)=3x-5 and x in {-1,0,1,3,4} then find the range of f

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  2. If A={x:x^2=9 and 2x=3} then find set A

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  3. For any set A,B prove that A cap (B-A)=phi

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  4. If A={2,3,5} and B={2,5,6} then (A cap B)xx(A-B)=

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  5. If A= {a,b} B={p,q} then how many relation are there from set A to set...

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  6. P={(x,y):x,y in N and 3x+2y=15} is a relation on a set of natural numb...

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  7. If B subseteqA then prove that B-A=phi

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  8. Let A={1,2,3,5} and B={4,6,9} let R =R={(x,y):abs(x-y) is odd x in A,...

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  9. Find the domain and range of the relation R={(a,b):a+b=10,a,b in N}

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

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

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

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

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

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

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

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

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

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

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